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Finding the Third Proportional to 101,477 and 218,074

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Solution

The third proportional to 101,477 and 218,074 is: 468,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,477 : 218,074 = 218,074 : x
  2. Step 2: Convert to fraction form
    101,477/218,074 = 218,074/x
  3. Step 3: Cross multiply
    101,477x = 218,074 × 218,074
  4. Step 4: Simplify right side
    101,477x = 47,556,269,476
  5. Step 5: Solve for x
    x = 47,556,269,476/101,477
  6. Step 6: Final answer
    x = 468,640.87

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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.