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Finding the Third Proportional to 93,631 and 195,041

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Solution

The third proportional to 93,631 and 195,041 is: 406,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,631 : 195,041 = 195,041 : x
  2. Step 2: Convert to fraction form
    93,631/195,041 = 195,041/x
  3. Step 3: Cross multiply
    93,631x = 195,041 × 195,041
  4. Step 4: Simplify right side
    93,631x = 38,040,991,681
  5. Step 5: Solve for x
    x = 38,040,991,681/93,631
  6. Step 6: Final answer
    x = 406,286.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.