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Finding the Third Proportional to 95,974 and 198,096

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Solution

The third proportional to 95,974 and 198,096 is: 408,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,974 : 198,096 = 198,096 : x
  2. Step 2: Convert to fraction form
    95,974/198,096 = 198,096/x
  3. Step 3: Cross multiply
    95,974x = 198,096 × 198,096
  4. Step 4: Simplify right side
    95,974x = 39,242,025,216
  5. Step 5: Solve for x
    x = 39,242,025,216/95,974
  6. Step 6: Final answer
    x = 408,881.83

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Why These Related Problems?

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