Taking the larger value of corresponding Duplicate Cells

[yebnnirg]

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Basically I want to take the greater value only from the second column based off of when there is a duplicate within the first column.

[samba_ravi]

=if(c2=max(index((b$2:b$12=b2)*(c$2:c$12),0)),c3,"")
Enter the formula in e2 and copy towards down