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Finding the Third Proportional to 101,994.75 and 218,738.25

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Solution

The third proportional to 101,994.75 and 218,738.25 is: 469,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,994.75 : 218,738.25 = 218,738.25 : x
  2. Step 2: Convert to fraction form
    101,994.75/218,738.25 = 218,738.25/x
  3. Step 3: Cross multiply
    101,994.75x = 218,738.25 × 218,738.25
  4. Step 4: Simplify right side
    101,994.75x = 47,846,422,013.06
  5. Step 5: Solve for x
    x = 47,846,422,013.06/101,994.75
  6. Step 6: Final answer
    x = 469,106.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.