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Finding the Third Proportional to 96,422 and 207,643

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Solution

The third proportional to 96,422 and 207,643 is: 447,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,422 : 207,643 = 207,643 : x
  2. Step 2: Convert to fraction form
    96,422/207,643 = 207,643/x
  3. Step 3: Cross multiply
    96,422x = 207,643 × 207,643
  4. Step 4: Simplify right side
    96,422x = 43,115,615,449
  5. Step 5: Solve for x
    x = 43,115,615,449/96,422
  6. Step 6: Final answer
    x = 447,155.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.