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Finding the Third Proportional to 87,882 and 191,802

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Solution

The third proportional to 87,882 and 191,802 is: 418,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,882 : 191,802 = 191,802 : x
  2. Step 2: Convert to fraction form
    87,882/191,802 = 191,802/x
  3. Step 3: Cross multiply
    87,882x = 191,802 × 191,802
  4. Step 4: Simplify right side
    87,882x = 36,788,007,204
  5. Step 5: Solve for x
    x = 36,788,007,204/87,882
  6. Step 6: Final answer
    x = 418,606.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.