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Finding the Third Proportional to 100,037 and 218,662

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Solution

The third proportional to 100,037 and 218,662 is: 477,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,037 : 218,662 = 218,662 : x
  2. Step 2: Convert to fraction form
    100,037/218,662 = 218,662/x
  3. Step 3: Cross multiply
    100,037x = 218,662 × 218,662
  4. Step 4: Simplify right side
    100,037x = 47,813,070,244
  5. Step 5: Solve for x
    x = 47,813,070,244/100,037
  6. Step 6: Final answer
    x = 477,953.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.