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Finding the Third Proportional to 102,011.50 and 218,785

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Solution

The third proportional to 102,011.50 and 218,785 is: 469,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,011.50 : 218,785 = 218,785 : x
  2. Step 2: Convert to fraction form
    102,011.50/218,785 = 218,785/x
  3. Step 3: Cross multiply
    102,011.50x = 218,785 × 218,785
  4. Step 4: Simplify right side
    102,011.50x = 47,866,876,225
  5. Step 5: Solve for x
    x = 47,866,876,225/102,011.50
  6. Step 6: Final answer
    x = 469,230.20

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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.