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Finding the Third Proportional to 91,857 and 195,234

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Solution

The third proportional to 91,857 and 195,234 is: 414,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,857 : 195,234 = 195,234 : x
  2. Step 2: Convert to fraction form
    91,857/195,234 = 195,234/x
  3. Step 3: Cross multiply
    91,857x = 195,234 × 195,234
  4. Step 4: Simplify right side
    91,857x = 38,116,314,756
  5. Step 5: Solve for x
    x = 38,116,314,756/91,857
  6. Step 6: Final answer
    x = 414,952.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.