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Finding the Third Proportional to 49,690.13 and 106,481.25

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Solution

The third proportional to 49,690.13 and 106,481.25 is: 228,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,690.13 : 106,481.25 = 106,481.25 : x
  2. Step 2: Convert to fraction form
    49,690.13/106,481.25 = 106,481.25/x
  3. Step 3: Cross multiply
    49,690.13x = 106,481.25 × 106,481.25
  4. Step 4: Simplify right side
    49,690.13x = 11,338,256,601.56
  5. Step 5: Solve for x
    x = 11,338,256,601.56/49,690.13
  6. Step 6: Final answer
    x = 228,179.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.