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Finding the Third Proportional to 87,490.13 and 191,997.84

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Solution

The third proportional to 87,490.13 and 191,997.84 is: 421,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,490.13 : 191,997.84 = 191,997.84 : x
  2. Step 2: Convert to fraction form
    87,490.13/191,997.84 = 191,997.84/x
  3. Step 3: Cross multiply
    87,490.13x = 191,997.84 × 191,997.84
  4. Step 4: Simplify right side
    87,490.13x = 36,863,172,004.65
  5. Step 5: Solve for x
    x = 36,863,172,004.65/87,490.13
  6. Step 6: Final answer
    x = 421,340.95

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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.