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Finding the Third Proportional to 100,377 and 222,897

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Solution

The third proportional to 100,377 and 222,897 is: 494,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,377 : 222,897 = 222,897 : x
  2. Step 2: Convert to fraction form
    100,377/222,897 = 222,897/x
  3. Step 3: Cross multiply
    100,377x = 222,897 × 222,897
  4. Step 4: Simplify right side
    100,377x = 49,683,072,609
  5. Step 5: Solve for x
    x = 49,683,072,609/100,377
  6. Step 6: Final answer
    x = 494,964.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.