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Finding the Third Proportional to 100,859 and 217,279

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Solution

The third proportional to 100,859 and 217,279 is: 468,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,859 : 217,279 = 217,279 : x
  2. Step 2: Convert to fraction form
    100,859/217,279 = 217,279/x
  3. Step 3: Cross multiply
    100,859x = 217,279 × 217,279
  4. Step 4: Simplify right side
    100,859x = 47,210,163,841
  5. Step 5: Solve for x
    x = 47,210,163,841/100,859
  6. Step 6: Final answer
    x = 468,080.82

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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.