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Finding the Third Proportional to 49,692 and 107,305.50

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Solution

The third proportional to 49,692 and 107,305.50 is: 231,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,692 : 107,305.50 = 107,305.50 : x
  2. Step 2: Convert to fraction form
    49,692/107,305.50 = 107,305.50/x
  3. Step 3: Cross multiply
    49,692x = 107,305.50 × 107,305.50
  4. Step 4: Simplify right side
    49,692x = 11,514,470,330.25
  5. Step 5: Solve for x
    x = 11,514,470,330.25/49,692
  6. Step 6: Final answer
    x = 231,716.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.