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Finding the Third Proportional to 96,421 and 207,638

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Solution

The third proportional to 96,421 and 207,638 is: 447,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,421 : 207,638 = 207,638 : x
  2. Step 2: Convert to fraction form
    96,421/207,638 = 207,638/x
  3. Step 3: Cross multiply
    96,421x = 207,638 × 207,638
  4. Step 4: Simplify right side
    96,421x = 43,113,539,044
  5. Step 5: Solve for x
    x = 43,113,539,044/96,421
  6. Step 6: Final answer
    x = 447,138.48

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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.