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Finding the Third Proportional to 100,981.69 and 222,922.13

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Solution

The third proportional to 100,981.69 and 222,922.13 is: 492,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,981.69 : 222,922.13 = 222,922.13 : x
  2. Step 2: Convert to fraction form
    100,981.69/222,922.13 = 222,922.13/x
  3. Step 3: Cross multiply
    100,981.69x = 222,922.13 × 222,922.13
  4. Step 4: Simplify right side
    100,981.69x = 49,694,273,814.52
  5. Step 5: Solve for x
    x = 49,694,273,814.52/100,981.69
  6. Step 6: Final answer
    x = 492,111.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.