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Finding the Third Proportional to 87,389.25 and 191,452.31

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Solution

The third proportional to 87,389.25 and 191,452.31 is: 419,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,389.25 : 191,452.31 = 191,452.31 : x
  2. Step 2: Convert to fraction form
    87,389.25/191,452.31 = 191,452.31/x
  3. Step 3: Cross multiply
    87,389.25x = 191,452.31 × 191,452.31
  4. Step 4: Simplify right side
    87,389.25x = 36,653,987,961.60
  5. Step 5: Solve for x
    x = 36,653,987,961.60/87,389.25
  6. Step 6: Final answer
    x = 419,433.60

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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.