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Finding the Third Proportional to 100,296 and 216,266

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Solution

The third proportional to 100,296 and 216,266 is: 466,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296 : 216,266 = 216,266 : x
  2. Step 2: Convert to fraction form
    100,296/216,266 = 216,266/x
  3. Step 3: Cross multiply
    100,296x = 216,266 × 216,266
  4. Step 4: Simplify right side
    100,296x = 46,770,982,756
  5. Step 5: Solve for x
    x = 46,770,982,756/100,296
  6. Step 6: Final answer
    x = 466,329.49

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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.