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Finding the Third Proportional to 104,251.88 and 227,620.50

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Solution

The third proportional to 104,251.88 and 227,620.50 is: 496,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,251.88 : 227,620.50 = 227,620.50 : x
  2. Step 2: Convert to fraction form
    104,251.88/227,620.50 = 227,620.50/x
  3. Step 3: Cross multiply
    104,251.88x = 227,620.50 × 227,620.50
  4. Step 4: Simplify right side
    104,251.88x = 51,811,092,020.25
  5. Step 5: Solve for x
    x = 51,811,092,020.25/104,251.88
  6. Step 6: Final answer
    x = 496,979.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.