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Finding the Third Proportional to 101,832 and 218,712

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Solution

The third proportional to 101,832 and 218,712 is: 469,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,832 : 218,712 = 218,712 : x
  2. Step 2: Convert to fraction form
    101,832/218,712 = 218,712/x
  3. Step 3: Cross multiply
    101,832x = 218,712 × 218,712
  4. Step 4: Simplify right side
    101,832x = 47,834,938,944
  5. Step 5: Solve for x
    x = 47,834,938,944/101,832
  6. Step 6: Final answer
    x = 469,743.69

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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.