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Finding the Third Proportional to 101,969 and 218,704

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Solution

The third proportional to 101,969 and 218,704 is: 469,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969 : 218,704 = 218,704 : x
  2. Step 2: Convert to fraction form
    101,969/218,704 = 218,704/x
  3. Step 3: Cross multiply
    101,969x = 218,704 × 218,704
  4. Step 4: Simplify right side
    101,969x = 47,831,439,616
  5. Step 5: Solve for x
    x = 47,831,439,616/101,969
  6. Step 6: Final answer
    x = 469,078.25

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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.