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Finding the Third Proportional to 39,565.13 and 93,398.06

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Solution

The third proportional to 39,565.13 and 93,398.06 is: 220,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,565.13 : 93,398.06 = 93,398.06 : x
  2. Step 2: Convert to fraction form
    39,565.13/93,398.06 = 93,398.06/x
  3. Step 3: Cross multiply
    39,565.13x = 93,398.06 × 93,398.06
  4. Step 4: Simplify right side
    39,565.13x = 8,723,198,078.75
  5. Step 5: Solve for x
    x = 8,723,198,078.75/39,565.13
  6. Step 6: Final answer
    x = 220,476.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.