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Finding the Third Proportional to 101,568 and 220,085

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Solution

The third proportional to 101,568 and 220,085 is: 476,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,568 : 220,085 = 220,085 : x
  2. Step 2: Convert to fraction form
    101,568/220,085 = 220,085/x
  3. Step 3: Cross multiply
    101,568x = 220,085 × 220,085
  4. Step 4: Simplify right side
    101,568x = 48,437,407,225
  5. Step 5: Solve for x
    x = 48,437,407,225/101,568
  6. Step 6: Final answer
    x = 476,896.34

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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.