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Finding the Third Proportional to 96,662 and 212,945

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Solution

The third proportional to 96,662 and 212,945 is: 469,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,662 : 212,945 = 212,945 : x
  2. Step 2: Convert to fraction form
    96,662/212,945 = 212,945/x
  3. Step 3: Cross multiply
    96,662x = 212,945 × 212,945
  4. Step 4: Simplify right side
    96,662x = 45,345,573,025
  5. Step 5: Solve for x
    x = 45,345,573,025/96,662
  6. Step 6: Final answer
    x = 469,114.78

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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.