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apportion (v.)

"divide and assign according to rule," 1570s, from French apportionner, from Old French aporcioner "apportion, share out," from a- "to" (see ad-) + portioner "to divide into portions," from portion "share, portion" (see portion (n.)). Related: Apportioned; apportioning.

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Definitions of apportion from WordNet

apportion (v.)
distribute according to a plan or set apart for a special purpose;
Synonyms: allocate
apportion (v.)
give out as one's portion or share;
Synonyms: share / divvy up / portion out / deal
From wordnet.princeton.edu