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Finding the Third Proportional to 95,991.75 and 209,452.50

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Solution

The third proportional to 95,991.75 and 209,452.50 is: 457,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,991.75 : 209,452.50 = 209,452.50 : x
  2. Step 2: Convert to fraction form
    95,991.75/209,452.50 = 209,452.50/x
  3. Step 3: Cross multiply
    95,991.75x = 209,452.50 × 209,452.50
  4. Step 4: Simplify right side
    95,991.75x = 43,870,349,756.25
  5. Step 5: Solve for x
    x = 43,870,349,756.25/95,991.75
  6. Step 6: Final answer
    x = 457,022.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.