Final answer:
The sentences have been completed with the proper prepositions to ensure grammatical correctness. 'By' is used in most cases to indicate a deadline or end point, while 'to' is used once to indicate accompaniment.
Step-by-step explanation:
The exercise involves choosing the correct prepositions to complete sentences. Here are the completed sentences with the appropriate prepositions:
- The farmer cleans his horse by the beginning of the competition.
- The medicine works wonders by our travel.
- Betty drinks her milk to mother's humming.
- We pack our things by the arriving of the taxi.
- The world's population increases by the end of the century.
- I have a bath by three o'clock.
- The plant fulfills its production plan by the end of the year.
The chosen prepositions fit the context of each sentence and make them grammatically correct and complete.