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Finding the Third Proportional to 94,755 and 206,214

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Solution

The third proportional to 94,755 and 206,214 is: 448,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,755 : 206,214 = 206,214 : x
  2. Step 2: Convert to fraction form
    94,755/206,214 = 206,214/x
  3. Step 3: Cross multiply
    94,755x = 206,214 × 206,214
  4. Step 4: Simplify right side
    94,755x = 42,524,213,796
  5. Step 5: Solve for x
    x = 42,524,213,796/94,755
  6. Step 6: Final answer
    x = 448,780.68

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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.