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Finding the Third Proportional to 96,767 and 206,656

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Solution

The third proportional to 96,767 and 206,656 is: 441,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,767 : 206,656 = 206,656 : x
  2. Step 2: Convert to fraction form
    96,767/206,656 = 206,656/x
  3. Step 3: Cross multiply
    96,767x = 206,656 × 206,656
  4. Step 4: Simplify right side
    96,767x = 42,706,702,336
  5. Step 5: Solve for x
    x = 42,706,702,336/96,767
  6. Step 6: Final answer
    x = 441,335.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.