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Finding the Third Proportional to 87,983 and 191,847

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Solution

The third proportional to 87,983 and 191,847 is: 418,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,983 : 191,847 = 191,847 : x
  2. Step 2: Convert to fraction form
    87,983/191,847 = 191,847/x
  3. Step 3: Cross multiply
    87,983x = 191,847 × 191,847
  4. Step 4: Simplify right side
    87,983x = 36,805,271,409
  5. Step 5: Solve for x
    x = 36,805,271,409/87,983
  6. Step 6: Final answer
    x = 418,322.53

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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.