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Finding the Third Proportional to 49,321.41 and 106,942.78

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Solution

The third proportional to 49,321.41 and 106,942.78 is: 231,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321.41 : 106,942.78 = 106,942.78 : x
  2. Step 2: Convert to fraction form
    49,321.41/106,942.78 = 106,942.78/x
  3. Step 3: Cross multiply
    49,321.41x = 106,942.78 × 106,942.78
  4. Step 4: Simplify right side
    49,321.41x = 11,436,758,461.49
  5. Step 5: Solve for x
    x = 11,436,758,461.49/49,321.41
  6. Step 6: Final answer
    x = 231,882.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.