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Finding the Third Proportional to 42,432 and 93,335.25

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Solution

The third proportional to 42,432 and 93,335.25 is: 205,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,432 : 93,335.25 = 93,335.25 : x
  2. Step 2: Convert to fraction form
    42,432/93,335.25 = 93,335.25/x
  3. Step 3: Cross multiply
    42,432x = 93,335.25 × 93,335.25
  4. Step 4: Simplify right side
    42,432x = 8,711,468,892.56
  5. Step 5: Solve for x
    x = 8,711,468,892.56/42,432
  6. Step 6: Final answer
    x = 205,304.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.