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Finding the Third Proportional to 49,845.38 and 113,632.88

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Solution

The third proportional to 49,845.38 and 113,632.88 is: 259,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,845.38 : 113,632.88 = 113,632.88 : x
  2. Step 2: Convert to fraction form
    49,845.38/113,632.88 = 113,632.88/x
  3. Step 3: Cross multiply
    49,845.38x = 113,632.88 × 113,632.88
  4. Step 4: Simplify right side
    49,845.38x = 12,912,430,280.77
  5. Step 5: Solve for x
    x = 12,912,430,280.77/49,845.38
  6. Step 6: Final answer
    x = 259,049.72

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.