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Finding the Third Proportional to 87,844.50 and 191,590.31

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Solution

The third proportional to 87,844.50 and 191,590.31 is: 417,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,844.50 : 191,590.31 = 191,590.31 : x
  2. Step 2: Convert to fraction form
    87,844.50/191,590.31 = 191,590.31/x
  3. Step 3: Cross multiply
    87,844.50x = 191,590.31 × 191,590.31
  4. Step 4: Simplify right side
    87,844.50x = 36,706,847,843.85
  5. Step 5: Solve for x
    x = 36,706,847,843.85/87,844.50
  6. Step 6: Final answer
    x = 417,861.65

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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.