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Finding the Third Proportional to 95,189 and 206,296

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Solution

The third proportional to 95,189 and 206,296 is: 447,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,189 : 206,296 = 206,296 : x
  2. Step 2: Convert to fraction form
    95,189/206,296 = 206,296/x
  3. Step 3: Cross multiply
    95,189x = 206,296 × 206,296
  4. Step 4: Simplify right side
    95,189x = 42,558,039,616
  5. Step 5: Solve for x
    x = 42,558,039,616/95,189
  6. Step 6: Final answer
    x = 447,089.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.