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Finding the Third Proportional to 96,976 and 209,248

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Solution

The third proportional to 96,976 and 209,248 is: 451,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,976 : 209,248 = 209,248 : x
  2. Step 2: Convert to fraction form
    96,976/209,248 = 209,248/x
  3. Step 3: Cross multiply
    96,976x = 209,248 × 209,248
  4. Step 4: Simplify right side
    96,976x = 43,784,725,504
  5. Step 5: Solve for x
    x = 43,784,725,504/96,976
  6. Step 6: Final answer
    x = 451,500.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.