Opener Aaron Finch notched up his second century of the series to lead Australia's reply but his 108 off 111 balls was not enough for the hosts.
Stokes returned with the ball to pick up four wickets as Australia, without the rested Michael Clarke, David Warner and Brad Haddin, were shot out for 259 runs in 47.4 overs.
(Writing by Sudipto Ganguly; editing by Ed Osmond)
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