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Finding the Third Proportional to 101,132 and 217,768

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Solution

The third proportional to 101,132 and 217,768 is: 468,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,132 : 217,768 = 217,768 : x
  2. Step 2: Convert to fraction form
    101,132/217,768 = 217,768/x
  3. Step 3: Cross multiply
    101,132x = 217,768 × 217,768
  4. Step 4: Simplify right side
    101,132x = 47,422,901,824
  5. Step 5: Solve for x
    x = 47,422,901,824/101,132
  6. Step 6: Final answer
    x = 468,920.83

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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.