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Finding the Third Proportional to 43,945.25 and 95,180.50

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Solution

The third proportional to 43,945.25 and 95,180.50 is: 206,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,945.25 : 95,180.50 = 95,180.50 : x
  2. Step 2: Convert to fraction form
    43,945.25/95,180.50 = 95,180.50/x
  3. Step 3: Cross multiply
    43,945.25x = 95,180.50 × 95,180.50
  4. Step 4: Simplify right side
    43,945.25x = 9,059,327,580.25
  5. Step 5: Solve for x
    x = 9,059,327,580.25/43,945.25
  6. Step 6: Final answer
    x = 206,150.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.