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Finding the Third Proportional to 87,488,870 and 191,455,082

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Solution

The third proportional to 87,488,870 and 191,455,082 is: 418,968,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,488,870 : 191,455,082 = 191,455,082 : x
  2. Step 2: Convert to fraction form
    87,488,870/191,455,082 = 191,455,082/x
  3. Step 3: Cross multiply
    87,488,870x = 191,455,082 × 191,455,082
  4. Step 4: Simplify right side
    87,488,870x = 36,655,048,423,626,720
  5. Step 5: Solve for x
    x = 36,655,048,423,626,720/87,488,870
  6. Step 6: Final answer
    x = 418,968,131.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.