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Finding the Third Proportional to 89,110.13 and 185,565.94

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Solution

The third proportional to 89,110.13 and 185,565.94 is: 386,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,110.13 : 185,565.94 = 185,565.94 : x
  2. Step 2: Convert to fraction form
    89,110.13/185,565.94 = 185,565.94/x
  3. Step 3: Cross multiply
    89,110.13x = 185,565.94 × 185,565.94
  4. Step 4: Simplify right side
    89,110.13x = 34,434,717,160.25
  5. Step 5: Solve for x
    x = 34,434,717,160.25/89,110.13
  6. Step 6: Final answer
    x = 386,428.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.