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Finding the Third Proportional to 96,444 and 207,690

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Solution

The third proportional to 96,444 and 207,690 is: 447,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,444 : 207,690 = 207,690 : x
  2. Step 2: Convert to fraction form
    96,444/207,690 = 207,690/x
  3. Step 3: Cross multiply
    96,444x = 207,690 × 207,690
  4. Step 4: Simplify right side
    96,444x = 43,135,136,100
  5. Step 5: Solve for x
    x = 43,135,136,100/96,444
  6. Step 6: Final answer
    x = 447,255.78

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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.