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Finding the Third Proportional to 49,523.91 and 104,515.31

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Solution

The third proportional to 49,523.91 and 104,515.31 is: 220,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,523.91 : 104,515.31 = 104,515.31 : x
  2. Step 2: Convert to fraction form
    49,523.91/104,515.31 = 104,515.31/x
  3. Step 3: Cross multiply
    49,523.91x = 104,515.31 × 104,515.31
  4. Step 4: Simplify right side
    49,523.91x = 10,923,450,546.97
  5. Step 5: Solve for x
    x = 10,923,450,546.97/49,523.91
  6. Step 6: Final answer
    x = 220,569.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.