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Finding the Third Proportional to 103,882.50 and 227,539.13

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Solution

The third proportional to 103,882.50 and 227,539.13 is: 498,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,882.50 : 227,539.13 = 227,539.13 : x
  2. Step 2: Convert to fraction form
    103,882.50/227,539.13 = 227,539.13/x
  3. Step 3: Cross multiply
    103,882.50x = 227,539.13 × 227,539.13
  4. Step 4: Simplify right side
    103,882.50x = 51,774,053,405.77
  5. Step 5: Solve for x
    x = 51,774,053,405.77/103,882.50
  6. Step 6: Final answer
    x = 498,390.52

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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.