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Finding the Third Proportional to 87,237 and 191,089.13

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Solution

The third proportional to 87,237 and 191,089.13 is: 418,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,237 : 191,089.13 = 191,089.13 : x
  2. Step 2: Convert to fraction form
    87,237/191,089.13 = 191,089.13/x
  3. Step 3: Cross multiply
    87,237x = 191,089.13 × 191,089.13
  4. Step 4: Simplify right side
    87,237x = 36,515,053,693.27
  5. Step 5: Solve for x
    x = 36,515,053,693.27/87,237
  6. Step 6: Final answer
    x = 418,573.01

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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.