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Finding the Third Proportional to 95,822 and 223,812

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Solution

The third proportional to 95,822 and 223,812 is: 522,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,822 : 223,812 = 223,812 : x
  2. Step 2: Convert to fraction form
    95,822/223,812 = 223,812/x
  3. Step 3: Cross multiply
    95,822x = 223,812 × 223,812
  4. Step 4: Simplify right side
    95,822x = 50,091,811,344
  5. Step 5: Solve for x
    x = 50,091,811,344/95,822
  6. Step 6: Final answer
    x = 522,758.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.