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Finding the Third Proportional to 43,471 and 100,644

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Solution

The third proportional to 43,471 and 100,644 is: 233,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,471 : 100,644 = 100,644 : x
  2. Step 2: Convert to fraction form
    43,471/100,644 = 100,644/x
  3. Step 3: Cross multiply
    43,471x = 100,644 × 100,644
  4. Step 4: Simplify right side
    43,471x = 10,129,214,736
  5. Step 5: Solve for x
    x = 10,129,214,736/43,471
  6. Step 6: Final answer
    x = 233,010.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.