Answer
$r_{2}=Rr_{1}\div({r_{1}-R})$
Work Step by Step
$R(r_{1}+r_{2})=r_{1}r_{2}$
$Rr_{1}+Rr_{2}=r_{1}r_{2}$
$Rr_{1}=r_{1}r_{2}-Rr_{2}$
$Rr_{1}=r_{2}(r_{1}-R)$
$r_{2}=Rr_{1}\div({r_{1}-R})$
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