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Finding the Third Proportional to 49,723.88 and 102,318.19

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Solution

The third proportional to 49,723.88 and 102,318.19 is: 210,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,723.88 : 102,318.19 = 102,318.19 : x
  2. Step 2: Convert to fraction form
    49,723.88/102,318.19 = 102,318.19/x
  3. Step 3: Cross multiply
    49,723.88x = 102,318.19 × 102,318.19
  4. Step 4: Simplify right side
    49,723.88x = 10,469,011,493.29
  5. Step 5: Solve for x
    x = 10,469,011,493.29/49,723.88
  6. Step 6: Final answer
    x = 210,542.95

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.