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Finding the Third Proportional to 49,678 and 96,866

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Solution

The third proportional to 49,678 and 96,866 is: 188,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,678 : 96,866 = 96,866 : x
  2. Step 2: Convert to fraction form
    49,678/96,866 = 96,866/x
  3. Step 3: Cross multiply
    49,678x = 96,866 × 96,866
  4. Step 4: Simplify right side
    49,678x = 9,383,021,956
  5. Step 5: Solve for x
    x = 9,383,021,956/49,678
  6. Step 6: Final answer
    x = 188,876.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.