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Finding the Third Proportional to 87,357.38 and 191,071.13

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Solution

The third proportional to 87,357.38 and 191,071.13 is: 417,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,357.38 : 191,071.13 = 191,071.13 : x
  2. Step 2: Convert to fraction form
    87,357.38/191,071.13 = 191,071.13/x
  3. Step 3: Cross multiply
    87,357.38x = 191,071.13 × 191,071.13
  4. Step 4: Simplify right side
    87,357.38x = 36,508,174,808.77
  5. Step 5: Solve for x
    x = 36,508,174,808.77/87,357.38
  6. Step 6: Final answer
    x = 417,917.49

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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.