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Finding the Third Proportional to 87,961.13 and 191,710.13

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Solution

The third proportional to 87,961.13 and 191,710.13 is: 417,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,961.13 : 191,710.13 = 191,710.13 : x
  2. Step 2: Convert to fraction form
    87,961.13/191,710.13 = 191,710.13/x
  3. Step 3: Cross multiply
    87,961.13x = 191,710.13 × 191,710.13
  4. Step 4: Simplify right side
    87,961.13x = 36,752,772,027.52
  5. Step 5: Solve for x
    x = 36,752,772,027.52/87,961.13
  6. Step 6: Final answer
    x = 417,829.72

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Why These Related Problems?

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