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Finding the Third Proportional to 47,918 and 104,233

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Solution

The third proportional to 47,918 and 104,233 is: 226,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,918 : 104,233 = 104,233 : x
  2. Step 2: Convert to fraction form
    47,918/104,233 = 104,233/x
  3. Step 3: Cross multiply
    47,918x = 104,233 × 104,233
  4. Step 4: Simplify right side
    47,918x = 10,864,518,289
  5. Step 5: Solve for x
    x = 10,864,518,289/47,918
  6. Step 6: Final answer
    x = 226,731.46

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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.