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Finding the Third Proportional to 47,818 and 104,384

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Solution

The third proportional to 47,818 and 104,384 is: 227,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,818 : 104,384 = 104,384 : x
  2. Step 2: Convert to fraction form
    47,818/104,384 = 104,384/x
  3. Step 3: Cross multiply
    47,818x = 104,384 × 104,384
  4. Step 4: Simplify right side
    47,818x = 10,896,019,456
  5. Step 5: Solve for x
    x = 10,896,019,456/47,818
  6. Step 6: Final answer
    x = 227,864.39

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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.