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Finding the Third Proportional to 96,531 and 212,708

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Solution

The third proportional to 96,531 and 212,708 is: 468,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,531 : 212,708 = 212,708 : x
  2. Step 2: Convert to fraction form
    96,531/212,708 = 212,708/x
  3. Step 3: Cross multiply
    96,531x = 212,708 × 212,708
  4. Step 4: Simplify right side
    96,531x = 45,244,693,264
  5. Step 5: Solve for x
    x = 45,244,693,264/96,531
  6. Step 6: Final answer
    x = 468,706.36

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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.