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Finding the Third Proportional to 49,231.69 and 107,373.38

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Solution

The third proportional to 49,231.69 and 107,373.38 is: 234,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,231.69 : 107,373.38 = 107,373.38 : x
  2. Step 2: Convert to fraction form
    49,231.69/107,373.38 = 107,373.38/x
  3. Step 3: Cross multiply
    49,231.69x = 107,373.38 × 107,373.38
  4. Step 4: Simplify right side
    49,231.69x = 11,529,041,658.89
  5. Step 5: Solve for x
    x = 11,529,041,658.89/49,231.69
  6. Step 6: Final answer
    x = 234,179.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.