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Finding the Third Proportional to 95,661 and 195,210

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Solution

The third proportional to 95,661 and 195,210 is: 398,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,661 : 195,210 = 195,210 : x
  2. Step 2: Convert to fraction form
    95,661/195,210 = 195,210/x
  3. Step 3: Cross multiply
    95,661x = 195,210 × 195,210
  4. Step 4: Simplify right side
    95,661x = 38,106,944,100
  5. Step 5: Solve for x
    x = 38,106,944,100/95,661
  6. Step 6: Final answer
    x = 398,354.02

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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.