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Finding the Third Proportional to 91,644 and 206,934

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Solution

The third proportional to 91,644 and 206,934 is: 467,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,644 : 206,934 = 206,934 : x
  2. Step 2: Convert to fraction form
    91,644/206,934 = 206,934/x
  3. Step 3: Cross multiply
    91,644x = 206,934 × 206,934
  4. Step 4: Simplify right side
    91,644x = 42,821,680,356
  5. Step 5: Solve for x
    x = 42,821,680,356/91,644
  6. Step 6: Final answer
    x = 467,261.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.