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Finding the Third Proportional to 130,399.88 and 222,922.13

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Solution

The third proportional to 130,399.88 and 222,922.13 is: 381,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,399.88 : 222,922.13 = 222,922.13 : x
  2. Step 2: Convert to fraction form
    130,399.88/222,922.13 = 222,922.13/x
  3. Step 3: Cross multiply
    130,399.88x = 222,922.13 × 222,922.13
  4. Step 4: Simplify right side
    130,399.88x = 49,694,273,814.52
  5. Step 5: Solve for x
    x = 49,694,273,814.52/130,399.88
  6. Step 6: Final answer
    x = 381,091.42

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.