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Finding the Third Proportional to 100,538 and 220,948

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Solution

The third proportional to 100,538 and 220,948 is: 485,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,538 : 220,948 = 220,948 : x
  2. Step 2: Convert to fraction form
    100,538/220,948 = 220,948/x
  3. Step 3: Cross multiply
    100,538x = 220,948 × 220,948
  4. Step 4: Simplify right side
    100,538x = 48,818,018,704
  5. Step 5: Solve for x
    x = 48,818,018,704/100,538
  6. Step 6: Final answer
    x = 485,567.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.