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Finding the Third Proportional to 100,591 and 218,483

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Solution

The third proportional to 100,591 and 218,483 is: 474,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,591 : 218,483 = 218,483 : x
  2. Step 2: Convert to fraction form
    100,591/218,483 = 218,483/x
  3. Step 3: Cross multiply
    100,591x = 218,483 × 218,483
  4. Step 4: Simplify right side
    100,591x = 47,734,821,289
  5. Step 5: Solve for x
    x = 47,734,821,289/100,591
  6. Step 6: Final answer
    x = 474,543.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.