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Finding the Third Proportional to 109,650.50 and 227,920

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Solution

The third proportional to 109,650.50 and 227,920 is: 473,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,650.50 : 227,920 = 227,920 : x
  2. Step 2: Convert to fraction form
    109,650.50/227,920 = 227,920/x
  3. Step 3: Cross multiply
    109,650.50x = 227,920 × 227,920
  4. Step 4: Simplify right side
    109,650.50x = 51,947,526,400
  5. Step 5: Solve for x
    x = 51,947,526,400/109,650.50
  6. Step 6: Final answer
    x = 473,755.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.