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Finding the Third Proportional to 105,544 and 222,022

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Solution

The third proportional to 105,544 and 222,022 is: 467,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,544 : 222,022 = 222,022 : x
  2. Step 2: Convert to fraction form
    105,544/222,022 = 222,022/x
  3. Step 3: Cross multiply
    105,544x = 222,022 × 222,022
  4. Step 4: Simplify right side
    105,544x = 49,293,768,484
  5. Step 5: Solve for x
    x = 49,293,768,484/105,544
  6. Step 6: Final answer
    x = 467,044.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.