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Finding the Third Proportional to 95,105.25 and 200,819.25

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Solution

The third proportional to 95,105.25 and 200,819.25 is: 424,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,105.25 : 200,819.25 = 200,819.25 : x
  2. Step 2: Convert to fraction form
    95,105.25/200,819.25 = 200,819.25/x
  3. Step 3: Cross multiply
    95,105.25x = 200,819.25 × 200,819.25
  4. Step 4: Simplify right side
    95,105.25x = 40,328,371,170.56
  5. Step 5: Solve for x
    x = 40,328,371,170.56/95,105.25
  6. Step 6: Final answer
    x = 424,039.38

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.