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Finding the Third Proportional to 99,299 and 212,812

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Solution

The third proportional to 99,299 and 212,812 is: 456,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,299 : 212,812 = 212,812 : x
  2. Step 2: Convert to fraction form
    99,299/212,812 = 212,812/x
  3. Step 3: Cross multiply
    99,299x = 212,812 × 212,812
  4. Step 4: Simplify right side
    99,299x = 45,288,947,344
  5. Step 5: Solve for x
    x = 45,288,947,344/99,299
  6. Step 6: Final answer
    x = 456,086.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.