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Finding the Third Proportional to 99,097 and 217,874

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Solution

The third proportional to 99,097 and 217,874 is: 479,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,097 : 217,874 = 217,874 : x
  2. Step 2: Convert to fraction form
    99,097/217,874 = 217,874/x
  3. Step 3: Cross multiply
    99,097x = 217,874 × 217,874
  4. Step 4: Simplify right side
    99,097x = 47,469,079,876
  5. Step 5: Solve for x
    x = 47,469,079,876/99,097
  6. Step 6: Final answer
    x = 479,016.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.