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Finding the Third Proportional to 95,914 and 195,636

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Solution

The third proportional to 95,914 and 195,636 is: 399,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,914 : 195,636 = 195,636 : x
  2. Step 2: Convert to fraction form
    95,914/195,636 = 195,636/x
  3. Step 3: Cross multiply
    95,914x = 195,636 × 195,636
  4. Step 4: Simplify right side
    95,914x = 38,273,444,496
  5. Step 5: Solve for x
    x = 38,273,444,496/95,914
  6. Step 6: Final answer
    x = 399,039.19

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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.