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Finding the Third Proportional to 96,668 and 212,956

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Solution

The third proportional to 96,668 and 212,956 is: 469,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,668 : 212,956 = 212,956 : x
  2. Step 2: Convert to fraction form
    96,668/212,956 = 212,956/x
  3. Step 3: Cross multiply
    96,668x = 212,956 × 212,956
  4. Step 4: Simplify right side
    96,668x = 45,350,257,936
  5. Step 5: Solve for x
    x = 45,350,257,936/96,668
  6. Step 6: Final answer
    x = 469,134.13

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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.