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Finding the Third Proportional to 80,649.42 and 188,362.97

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Solution

The third proportional to 80,649.42 and 188,362.97 is: 439,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,649.42 : 188,362.97 = 188,362.97 : x
  2. Step 2: Convert to fraction form
    80,649.42/188,362.97 = 188,362.97/x
  3. Step 3: Cross multiply
    80,649.42x = 188,362.97 × 188,362.97
  4. Step 4: Simplify right side
    80,649.42x = 35,480,607,996.31
  5. Step 5: Solve for x
    x = 35,480,607,996.31/80,649.42
  6. Step 6: Final answer
    x = 439,936.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.