The match at Tent Bridge resumed Australia reached 368/5 in 49 overs before the rain interrupted their play against Bangladesh.
Mustafizur Rahman claimed Steven Smith's wicket in a LBW leaving the Aussies on pressure after losing four quick wickets.
An unbelievable Soumya Sarkar has scored three wickets.
Usman Khawaja was caught behind in a surprise short ball wrapping up his innings at 89 runs.
Glen Maxwell was dismissed 32 in a mix up which saw him run out after Soumya got rid of David Warner in the 45th over but the left-handed made 166 of 147 balls and Australia got past 300 with few overs to go.
Warner got to his 16th ODI hundred with only 110 balls, he started slowly on not an easy wicket.
Earlier, Soumya Sarker struck in his first over claiming Aaron Finch's wicket.
In his length ball around off, Finch was looking to run it down but is surprised by the extra bounce.
The Aussie skipper checked his shot but ended up hitting it straight into the hands of Rubel Hossain at the short third giving the Tigers the only breakthrough yet. 
At the end of the 35th over of the match, Australia were at 203/1.
Australia have only played Bangladesh in two ODI's since 2011. The 2015 World Cup clash in Brisbane was washed out without a ball being ball while the Champions Trophy clash in 2017 ended without a result with rain halting Australia's chase.
Bangladesh included Rubel Hossain and Sabbir Rahman in this match as Mohammad Saifuddin and Mosaddek Hossain Saikat were left out due to injuries.
Saifuddin has been suffering from a back problem while Mosaddek sustained a blow on his right shoulder in the previous game against West Indies.
Before heading to this match, Australia played five matches and won four of them. Their only setback came against India. The defending champions are now at number three in the points table.
Bangladesh, on the other hand, played five matches so far as well and won two of them. They suffered two losses against New Zealand and England with the other match against Sri Lanka was washed out due to rain.
