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Finding the Third Proportional to 47,333 and 100,981

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Solution

The third proportional to 47,333 and 100,981 is: 215,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,333 : 100,981 = 100,981 : x
  2. Step 2: Convert to fraction form
    47,333/100,981 = 100,981/x
  3. Step 3: Cross multiply
    47,333x = 100,981 × 100,981
  4. Step 4: Simplify right side
    47,333x = 10,197,162,361
  5. Step 5: Solve for x
    x = 10,197,162,361/47,333
  6. Step 6: Final answer
    x = 215,434.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.