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Finding the Third Proportional to 95,367 and 209,406

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Solution

The third proportional to 95,367 and 209,406 is: 459,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,367 : 209,406 = 209,406 : x
  2. Step 2: Convert to fraction form
    95,367/209,406 = 209,406/x
  3. Step 3: Cross multiply
    95,367x = 209,406 × 209,406
  4. Step 4: Simplify right side
    95,367x = 43,850,872,836
  5. Step 5: Solve for x
    x = 43,850,872,836/95,367
  6. Step 6: Final answer
    x = 459,811.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.