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Finding the Third Proportional to 95,544 and 195,234.75

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Solution

The third proportional to 95,544 and 195,234.75 is: 398,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,544 : 195,234.75 = 195,234.75 : x
  2. Step 2: Convert to fraction form
    95,544/195,234.75 = 195,234.75/x
  3. Step 3: Cross multiply
    95,544x = 195,234.75 × 195,234.75
  4. Step 4: Simplify right side
    95,544x = 38,116,607,607.56
  5. Step 5: Solve for x
    x = 38,116,607,607.56/95,544
  6. Step 6: Final answer
    x = 398,942.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.