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Finding the Third Proportional to 96,696 and 211,812

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Solution

The third proportional to 96,696 and 211,812 is: 463,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,696 : 211,812 = 211,812 : x
  2. Step 2: Convert to fraction form
    96,696/211,812 = 211,812/x
  3. Step 3: Cross multiply
    96,696x = 211,812 × 211,812
  4. Step 4: Simplify right side
    96,696x = 44,864,323,344
  5. Step 5: Solve for x
    x = 44,864,323,344/96,696
  6. Step 6: Final answer
    x = 463,972.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.