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Finding the Third Proportional to 95,314 and 206,321

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Solution

The third proportional to 95,314 and 206,321 is: 446,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,314 : 206,321 = 206,321 : x
  2. Step 2: Convert to fraction form
    95,314/206,321 = 206,321/x
  3. Step 3: Cross multiply
    95,314x = 206,321 × 206,321
  4. Step 4: Simplify right side
    95,314x = 42,568,355,041
  5. Step 5: Solve for x
    x = 42,568,355,041/95,314
  6. Step 6: Final answer
    x = 446,611.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.