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Finding the Third Proportional to 47,348 and 101,866

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Solution

The third proportional to 47,348 and 101,866 is: 219,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,348 : 101,866 = 101,866 : x
  2. Step 2: Convert to fraction form
    47,348/101,866 = 101,866/x
  3. Step 3: Cross multiply
    47,348x = 101,866 × 101,866
  4. Step 4: Simplify right side
    47,348x = 10,376,681,956
  5. Step 5: Solve for x
    x = 10,376,681,956/47,348
  6. Step 6: Final answer
    x = 219,157.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.