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Finding the Third Proportional to 96,396.75 and 198,942.75

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Solution

The third proportional to 96,396.75 and 198,942.75 is: 410,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,396.75 : 198,942.75 = 198,942.75 : x
  2. Step 2: Convert to fraction form
    96,396.75/198,942.75 = 198,942.75/x
  3. Step 3: Cross multiply
    96,396.75x = 198,942.75 × 198,942.75
  4. Step 4: Simplify right side
    96,396.75x = 39,578,217,777.56
  5. Step 5: Solve for x
    x = 39,578,217,777.56/96,396.75
  6. Step 6: Final answer
    x = 410,576.27

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.