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Finding the Third Proportional to 103,907 and 222,029

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Solution

The third proportional to 103,907 and 222,029 is: 474,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,907 : 222,029 = 222,029 : x
  2. Step 2: Convert to fraction form
    103,907/222,029 = 222,029/x
  3. Step 3: Cross multiply
    103,907x = 222,029 × 222,029
  4. Step 4: Simplify right side
    103,907x = 49,296,876,841
  5. Step 5: Solve for x
    x = 49,296,876,841/103,907
  6. Step 6: Final answer
    x = 474,432.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.