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Finding the Third Proportional to 96,620 and 206,509

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Solution

The third proportional to 96,620 and 206,509 is: 441,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,620 : 206,509 = 206,509 : x
  2. Step 2: Convert to fraction form
    96,620/206,509 = 206,509/x
  3. Step 3: Cross multiply
    96,620x = 206,509 × 206,509
  4. Step 4: Simplify right side
    96,620x = 42,645,967,081
  5. Step 5: Solve for x
    x = 42,645,967,081/96,620
  6. Step 6: Final answer
    x = 441,378.26

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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.