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Finding the Third Proportional to 33,778.50 and 78,198.75

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Solution

The third proportional to 33,778.50 and 78,198.75 is: 181,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778.50 : 78,198.75 = 78,198.75 : x
  2. Step 2: Convert to fraction form
    33,778.50/78,198.75 = 78,198.75/x
  3. Step 3: Cross multiply
    33,778.50x = 78,198.75 × 78,198.75
  4. Step 4: Simplify right side
    33,778.50x = 6,115,044,501.56
  5. Step 5: Solve for x
    x = 6,115,044,501.56/33,778.50
  6. Step 6: Final answer
    x = 181,033.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.