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Finding the Third Proportional to 49,896.38 and 110,866.13

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Solution

The third proportional to 49,896.38 and 110,866.13 is: 246,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896.38 : 110,866.13 = 110,866.13 : x
  2. Step 2: Convert to fraction form
    49,896.38/110,866.13 = 110,866.13/x
  3. Step 3: Cross multiply
    49,896.38x = 110,866.13 × 110,866.13
  4. Step 4: Simplify right side
    49,896.38x = 12,291,297,672.52
  5. Step 5: Solve for x
    x = 12,291,297,672.52/49,896.38
  6. Step 6: Final answer
    x = 246,336.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.