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Finding the Third Proportional to 101,551 and 220,051

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Solution

The third proportional to 101,551 and 220,051 is: 476,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,551 : 220,051 = 220,051 : x
  2. Step 2: Convert to fraction form
    101,551/220,051 = 220,051/x
  3. Step 3: Cross multiply
    101,551x = 220,051 × 220,051
  4. Step 4: Simplify right side
    101,551x = 48,422,442,601
  5. Step 5: Solve for x
    x = 48,422,442,601/101,551
  6. Step 6: Final answer
    x = 476,828.81

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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.