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Finding the Third Proportional to 42,607.31 and 91,755.38

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Solution

The third proportional to 42,607.31 and 91,755.38 is: 197,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,607.31 : 91,755.38 = 91,755.38 : x
  2. Step 2: Convert to fraction form
    42,607.31/91,755.38 = 91,755.38/x
  3. Step 3: Cross multiply
    42,607.31x = 91,755.38 × 91,755.38
  4. Step 4: Simplify right side
    42,607.31x = 8,419,048,841.39
  5. Step 5: Solve for x
    x = 8,419,048,841.39/42,607.31
  6. Step 6: Final answer
    x = 197,596.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.