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Finding the Third Proportional to 129,481.88 and 196,927.88

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Solution

The third proportional to 129,481.88 and 196,927.88 is: 299,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,481.88 : 196,927.88 = 196,927.88 : x
  2. Step 2: Convert to fraction form
    129,481.88/196,927.88 = 196,927.88/x
  3. Step 3: Cross multiply
    129,481.88x = 196,927.88 × 196,927.88
  4. Step 4: Simplify right side
    129,481.88x = 38,780,587,952.02
  5. Step 5: Solve for x
    x = 38,780,587,952.02/129,481.88
  6. Step 6: Final answer
    x = 299,505.92

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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.