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Finding the Third Proportional to 100,500 and 218,468

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Solution

The third proportional to 100,500 and 218,468 is: 474,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,500 : 218,468 = 218,468 : x
  2. Step 2: Convert to fraction form
    100,500/218,468 = 218,468/x
  3. Step 3: Cross multiply
    100,500x = 218,468 × 218,468
  4. Step 4: Simplify right side
    100,500x = 47,728,267,024
  5. Step 5: Solve for x
    x = 47,728,267,024/100,500
  6. Step 6: Final answer
    x = 474,908.13

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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.