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Finding the Third Proportional to 95,233.50 and 204,799.50

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Solution

The third proportional to 95,233.50 and 204,799.50 is: 440,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,233.50 : 204,799.50 = 204,799.50 : x
  2. Step 2: Convert to fraction form
    95,233.50/204,799.50 = 204,799.50/x
  3. Step 3: Cross multiply
    95,233.50x = 204,799.50 × 204,799.50
  4. Step 4: Simplify right side
    95,233.50x = 41,942,835,200.25
  5. Step 5: Solve for x
    x = 41,942,835,200.25/95,233.50
  6. Step 6: Final answer
    x = 440,421.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.