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Finding the Third Proportional to 101,493 and 218,106

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Solution

The third proportional to 101,493 and 218,106 is: 468,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,493 : 218,106 = 218,106 : x
  2. Step 2: Convert to fraction form
    101,493/218,106 = 218,106/x
  3. Step 3: Cross multiply
    101,493x = 218,106 × 218,106
  4. Step 4: Simplify right side
    101,493x = 47,570,227,236
  5. Step 5: Solve for x
    x = 47,570,227,236/101,493
  6. Step 6: Final answer
    x = 468,704.51

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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.