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Finding the Third Proportional to 95,319 and 206,329

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Solution

The third proportional to 95,319 and 206,329 is: 446,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,319 : 206,329 = 206,329 : x
  2. Step 2: Convert to fraction form
    95,319/206,329 = 206,329/x
  3. Step 3: Cross multiply
    95,319x = 206,329 × 206,329
  4. Step 4: Simplify right side
    95,319x = 42,571,656,241
  5. Step 5: Solve for x
    x = 42,571,656,241/95,319
  6. Step 6: Final answer
    x = 446,622.98

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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.