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Finding the Third Proportional to 95,500.50 and 209,363.25

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Solution

The third proportional to 95,500.50 and 209,363.25 is: 458,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,500.50 : 209,363.25 = 209,363.25 : x
  2. Step 2: Convert to fraction form
    95,500.50/209,363.25 = 209,363.25/x
  3. Step 3: Cross multiply
    95,500.50x = 209,363.25 × 209,363.25
  4. Step 4: Simplify right side
    95,500.50x = 43,832,970,450.56
  5. Step 5: Solve for x
    x = 43,832,970,450.56/95,500.50
  6. Step 6: Final answer
    x = 458,981.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.