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Finding the Third Proportional to 49,346.44 and 108,532.13

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Solution

The third proportional to 49,346.44 and 108,532.13 is: 238,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,346.44 : 108,532.13 = 108,532.13 : x
  2. Step 2: Convert to fraction form
    49,346.44/108,532.13 = 108,532.13/x
  3. Step 3: Cross multiply
    49,346.44x = 108,532.13 × 108,532.13
  4. Step 4: Simplify right side
    49,346.44x = 11,779,222,157.02
  5. Step 5: Solve for x
    x = 11,779,222,157.02/49,346.44
  6. Step 6: Final answer
    x = 238,704.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.