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Finding the Third Proportional to 101,814 and 221,052

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Solution

The third proportional to 101,814 and 221,052 is: 479,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,814 : 221,052 = 221,052 : x
  2. Step 2: Convert to fraction form
    101,814/221,052 = 221,052/x
  3. Step 3: Cross multiply
    101,814x = 221,052 × 221,052
  4. Step 4: Simplify right side
    101,814x = 48,863,986,704
  5. Step 5: Solve for x
    x = 48,863,986,704/101,814
  6. Step 6: Final answer
    x = 479,933.87

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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.