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Finding the Third Proportional to 84,493.13 and 158,344.88

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Solution

The third proportional to 84,493.13 and 158,344.88 is: 296,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,493.13 : 158,344.88 = 158,344.88 : x
  2. Step 2: Convert to fraction form
    84,493.13/158,344.88 = 158,344.88/x
  3. Step 3: Cross multiply
    84,493.13x = 158,344.88 × 158,344.88
  4. Step 4: Simplify right side
    84,493.13x = 25,073,099,438.77
  5. Step 5: Solve for x
    x = 25,073,099,438.77/84,493.13
  6. Step 6: Final answer
    x = 296,747.21

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.