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Finding the Third Proportional to 102,002 and 220,950

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Solution

The third proportional to 102,002 and 220,950 is: 478,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002 : 220,950 = 220,950 : x
  2. Step 2: Convert to fraction form
    102,002/220,950 = 220,950/x
  3. Step 3: Cross multiply
    102,002x = 220,950 × 220,950
  4. Step 4: Simplify right side
    102,002x = 48,818,902,500
  5. Step 5: Solve for x
    x = 48,818,902,500/102,002
  6. Step 6: Final answer
    x = 478,607.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.