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Finding the Third Proportional to 100,016.44 and 217,204.88

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Solution

The third proportional to 100,016.44 and 217,204.88 is: 471,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,016.44 : 217,204.88 = 217,204.88 : x
  2. Step 2: Convert to fraction form
    100,016.44/217,204.88 = 217,204.88/x
  3. Step 3: Cross multiply
    100,016.44x = 217,204.88 × 217,204.88
  4. Step 4: Simplify right side
    100,016.44x = 47,177,957,723.77
  5. Step 5: Solve for x
    x = 47,177,957,723.77/100,016.44
  6. Step 6: Final answer
    x = 471,702.04

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