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Finding the Third Proportional to 107,992 and 220,300

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Solution

The third proportional to 107,992 and 220,300 is: 449,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,992 : 220,300 = 220,300 : x
  2. Step 2: Convert to fraction form
    107,992/220,300 = 220,300/x
  3. Step 3: Cross multiply
    107,992x = 220,300 × 220,300
  4. Step 4: Simplify right side
    107,992x = 48,532,090,000
  5. Step 5: Solve for x
    x = 48,532,090,000/107,992
  6. Step 6: Final answer
    x = 449,404.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.