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Finding the Third Proportional to 104,091 and 222,942

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Solution

The third proportional to 104,091 and 222,942 is: 477,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,091 : 222,942 = 222,942 : x
  2. Step 2: Convert to fraction form
    104,091/222,942 = 222,942/x
  3. Step 3: Cross multiply
    104,091x = 222,942 × 222,942
  4. Step 4: Simplify right side
    104,091x = 49,703,135,364
  5. Step 5: Solve for x
    x = 49,703,135,364/104,091
  6. Step 6: Final answer
    x = 477,496.95

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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.