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Finding the Third Proportional to 87,488,849 and 191,455,042

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Solution

The third proportional to 87,488,849 and 191,455,042 is: 418,968,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,488,849 : 191,455,042 = 191,455,042 : x
  2. Step 2: Convert to fraction form
    87,488,849/191,455,042 = 191,455,042/x
  3. Step 3: Cross multiply
    87,488,849x = 191,455,042 × 191,455,042
  4. Step 4: Simplify right side
    87,488,849x = 36,655,033,107,221,760
  5. Step 5: Solve for x
    x = 36,655,033,107,221,760/87,488,849
  6. Step 6: Final answer
    x = 418,968,057.37

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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.