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Finding the Third Proportional to 101,797 and 218,642

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Solution

The third proportional to 101,797 and 218,642 is: 469,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,797 : 218,642 = 218,642 : x
  2. Step 2: Convert to fraction form
    101,797/218,642 = 218,642/x
  3. Step 3: Cross multiply
    101,797x = 218,642 × 218,642
  4. Step 4: Simplify right side
    101,797x = 47,804,324,164
  5. Step 5: Solve for x
    x = 47,804,324,164/101,797
  6. Step 6: Final answer
    x = 469,604.45

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Why These Related Problems?

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