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Finding the Third Proportional to 49,150.78 and 107,500.69

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Solution

The third proportional to 49,150.78 and 107,500.69 is: 235,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,150.78 : 107,500.69 = 107,500.69 : x
  2. Step 2: Convert to fraction form
    49,150.78/107,500.69 = 107,500.69/x
  3. Step 3: Cross multiply
    49,150.78x = 107,500.69 × 107,500.69
  4. Step 4: Simplify right side
    49,150.78x = 11,556,397,812.97
  5. Step 5: Solve for x
    x = 11,556,397,812.97/49,150.78
  6. Step 6: Final answer
    x = 235,121.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.