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Finding the Third Proportional to 80,357.06 and 190,375.31

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Solution

The third proportional to 80,357.06 and 190,375.31 is: 451,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,357.06 : 190,375.31 = 190,375.31 : x
  2. Step 2: Convert to fraction form
    80,357.06/190,375.31 = 190,375.31/x
  3. Step 3: Cross multiply
    80,357.06x = 190,375.31 × 190,375.31
  4. Step 4: Simplify right side
    80,357.06x = 36,242,759,609.47
  5. Step 5: Solve for x
    x = 36,242,759,609.47/80,357.06
  6. Step 6: Final answer
    x = 451,021.46

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.