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Finding the Third Proportional to 94,757 and 206,218

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Solution

The third proportional to 94,757 and 206,218 is: 448,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,757 : 206,218 = 206,218 : x
  2. Step 2: Convert to fraction form
    94,757/206,218 = 206,218/x
  3. Step 3: Cross multiply
    94,757x = 206,218 × 206,218
  4. Step 4: Simplify right side
    94,757x = 42,525,863,524
  5. Step 5: Solve for x
    x = 42,525,863,524/94,757
  6. Step 6: Final answer
    x = 448,788.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.