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Finding the Third Proportional to 141,193.13 and 215,098.31

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Solution

The third proportional to 141,193.13 and 215,098.31 is: 327,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193.13 : 215,098.31 = 215,098.31 : x
  2. Step 2: Convert to fraction form
    141,193.13/215,098.31 = 215,098.31/x
  3. Step 3: Cross multiply
    141,193.13x = 215,098.31 × 215,098.31
  4. Step 4: Simplify right side
    141,193.13x = 46,267,284,040.35
  5. Step 5: Solve for x
    x = 46,267,284,040.35/141,193.13
  6. Step 6: Final answer
    x = 327,687.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.