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Finding the Third Proportional to 96,976 and 211,952

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Solution

The third proportional to 96,976 and 211,952 is: 463,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,976 : 211,952 = 211,952 : x
  2. Step 2: Convert to fraction form
    96,976/211,952 = 211,952/x
  3. Step 3: Cross multiply
    96,976x = 211,952 × 211,952
  4. Step 4: Simplify right side
    96,976x = 44,923,650,304
  5. Step 5: Solve for x
    x = 44,923,650,304/96,976
  6. Step 6: Final answer
    x = 463,245.03

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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.