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Finding the Third Proportional to 50,147.44 and 102,600.42

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Solution

The third proportional to 50,147.44 and 102,600.42 is: 209,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,147.44 : 102,600.42 = 102,600.42 : x
  2. Step 2: Convert to fraction form
    50,147.44/102,600.42 = 102,600.42/x
  3. Step 3: Cross multiply
    50,147.44x = 102,600.42 × 102,600.42
  4. Step 4: Simplify right side
    50,147.44x = 10,526,846,568.93
  5. Step 5: Solve for x
    x = 10,526,846,568.93/50,147.44
  6. Step 6: Final answer
    x = 209,917.94

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.