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Finding the Third Proportional to 101,986 and 219,704

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Solution

The third proportional to 101,986 and 219,704 is: 473,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986 : 219,704 = 219,704 : x
  2. Step 2: Convert to fraction form
    101,986/219,704 = 219,704/x
  3. Step 3: Cross multiply
    101,986x = 219,704 × 219,704
  4. Step 4: Simplify right side
    101,986x = 48,269,847,616
  5. Step 5: Solve for x
    x = 48,269,847,616/101,986
  6. Step 6: Final answer
    x = 473,298.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.