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Finding the Third Proportional to 49,200.50 and 103,357.88

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Solution

The third proportional to 49,200.50 and 103,357.88 is: 217,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200.50 : 103,357.88 = 103,357.88 : x
  2. Step 2: Convert to fraction form
    49,200.50/103,357.88 = 103,357.88/x
  3. Step 3: Cross multiply
    49,200.50x = 103,357.88 × 103,357.88
  4. Step 4: Simplify right side
    49,200.50x = 10,682,850,324.52
  5. Step 5: Solve for x
    x = 10,682,850,324.52/49,200.50
  6. Step 6: Final answer
    x = 217,128.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.