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Finding the Third Proportional to 87,461,070 and 191,347,380

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Solution

The third proportional to 87,461,070 and 191,347,380 is: 418,629,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461,070 : 191,347,380 = 191,347,380 : x
  2. Step 2: Convert to fraction form
    87,461,070/191,347,380 = 191,347,380/x
  3. Step 3: Cross multiply
    87,461,070x = 191,347,380 × 191,347,380
  4. Step 4: Simplify right side
    87,461,070x = 36,613,819,832,864,400
  5. Step 5: Solve for x
    x = 36,613,819,832,864,400/87,461,070
  6. Step 6: Final answer
    x = 418,629,909.66

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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.