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Finding the Third Proportional to 101,974.75 and 218,711.25

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Solution

The third proportional to 101,974.75 and 218,711.25 is: 469,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,974.75 : 218,711.25 = 218,711.25 : x
  2. Step 2: Convert to fraction form
    101,974.75/218,711.25 = 218,711.25/x
  3. Step 3: Cross multiply
    101,974.75x = 218,711.25 × 218,711.25
  4. Step 4: Simplify right side
    101,974.75x = 47,834,610,876.56
  5. Step 5: Solve for x
    x = 47,834,610,876.56/101,974.75
  6. Step 6: Final answer
    x = 469,082.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.