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Finding the Third Proportional to 95,195.25 and 203,512.50

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Solution

The third proportional to 95,195.25 and 203,512.50 is: 435,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,195.25 : 203,512.50 = 203,512.50 : x
  2. Step 2: Convert to fraction form
    95,195.25/203,512.50 = 203,512.50/x
  3. Step 3: Cross multiply
    95,195.25x = 203,512.50 × 203,512.50
  4. Step 4: Simplify right side
    95,195.25x = 41,417,337,656.25
  5. Step 5: Solve for x
    x = 41,417,337,656.25/95,195.25
  6. Step 6: Final answer
    x = 435,077.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.