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Finding the Third Proportional to 49,438.97 and 102,382.73

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Solution

The third proportional to 49,438.97 and 102,382.73 is: 212,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,438.97 : 102,382.73 = 102,382.73 : x
  2. Step 2: Convert to fraction form
    49,438.97/102,382.73 = 102,382.73/x
  3. Step 3: Cross multiply
    49,438.97x = 102,382.73 × 102,382.73
  4. Step 4: Simplify right side
    49,438.97x = 10,482,224,298.10
  5. Step 5: Solve for x
    x = 10,482,224,298.10/49,438.97
  6. Step 6: Final answer
    x = 212,023.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.