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Finding the Third Proportional to 132,194.11 and 271,387.13

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Solution

The third proportional to 132,194.11 and 271,387.13 is: 557,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,194.11 : 271,387.13 = 271,387.13 : x
  2. Step 2: Convert to fraction form
    132,194.11/271,387.13 = 271,387.13/x
  3. Step 3: Cross multiply
    132,194.11x = 271,387.13 × 271,387.13
  4. Step 4: Simplify right side
    132,194.11x = 73,650,971,615.77
  5. Step 5: Solve for x
    x = 73,650,971,615.77/132,194.11
  6. Step 6: Final answer
    x = 557,142.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.