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Finding the Third Proportional to 101,277 and 218,118

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Solution

The third proportional to 101,277 and 218,118 is: 469,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,277 : 218,118 = 218,118 : x
  2. Step 2: Convert to fraction form
    101,277/218,118 = 218,118/x
  3. Step 3: Cross multiply
    101,277x = 218,118 × 218,118
  4. Step 4: Simplify right side
    101,277x = 47,575,461,924
  5. Step 5: Solve for x
    x = 47,575,461,924/101,277
  6. Step 6: Final answer
    x = 469,755.84

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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.