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Finding the Third Proportional to 41,954.52 and 91,213.28

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Solution

The third proportional to 41,954.52 and 91,213.28 is: 198,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,954.52 : 91,213.28 = 91,213.28 : x
  2. Step 2: Convert to fraction form
    41,954.52/91,213.28 = 91,213.28/x
  3. Step 3: Cross multiply
    41,954.52x = 91,213.28 × 91,213.28
  4. Step 4: Simplify right side
    41,954.52x = 8,319,861,963.79
  5. Step 5: Solve for x
    x = 8,319,861,963.79/41,954.52
  6. Step 6: Final answer
    x = 198,306.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.