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Finding the Third Proportional to 49,891.78 and 110,855.25

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Solution

The third proportional to 49,891.78 and 110,855.25 is: 246,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,891.78 : 110,855.25 = 110,855.25 : x
  2. Step 2: Convert to fraction form
    49,891.78/110,855.25 = 110,855.25/x
  3. Step 3: Cross multiply
    49,891.78x = 110,855.25 × 110,855.25
  4. Step 4: Simplify right side
    49,891.78x = 12,288,886,452.56
  5. Step 5: Solve for x
    x = 12,288,886,452.56/49,891.78
  6. Step 6: Final answer
    x = 246,310.84

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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.