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Finding the Third Proportional to 96,419 and 207,655

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Solution

The third proportional to 96,419 and 207,655 is: 447,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,419 : 207,655 = 207,655 : x
  2. Step 2: Convert to fraction form
    96,419/207,655 = 207,655/x
  3. Step 3: Cross multiply
    96,419x = 207,655 × 207,655
  4. Step 4: Simplify right side
    96,419x = 43,120,599,025
  5. Step 5: Solve for x
    x = 43,120,599,025/96,419
  6. Step 6: Final answer
    x = 447,220.97

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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.