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Finding the Third Proportional to 101,874 and 221,262.75

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Solution

The third proportional to 101,874 and 221,262.75 is: 480,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,874 : 221,262.75 = 221,262.75 : x
  2. Step 2: Convert to fraction form
    101,874/221,262.75 = 221,262.75/x
  3. Step 3: Cross multiply
    101,874x = 221,262.75 × 221,262.75
  4. Step 4: Simplify right side
    101,874x = 48,957,204,537.56
  5. Step 5: Solve for x
    x = 48,957,204,537.56/101,874
  6. Step 6: Final answer
    x = 480,566.23

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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.