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Finding the Third Proportional to 49,474.13 and 100,693.13

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Solution

The third proportional to 49,474.13 and 100,693.13 is: 204,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474.13 : 100,693.13 = 100,693.13 : x
  2. Step 2: Convert to fraction form
    49,474.13/100,693.13 = 100,693.13/x
  3. Step 3: Cross multiply
    49,474.13x = 100,693.13 × 100,693.13
  4. Step 4: Simplify right side
    49,474.13x = 10,139,105,422.27
  5. Step 5: Solve for x
    x = 10,139,105,422.27/49,474.13
  6. Step 6: Final answer
    x = 204,937.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.