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Finding the Third Proportional to 193,163.06 and 419,561.44

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Solution

The third proportional to 193,163.06 and 419,561.44 is: 911,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,163.06 : 419,561.44 = 419,561.44 : x
  2. Step 2: Convert to fraction form
    193,163.06/419,561.44 = 419,561.44/x
  3. Step 3: Cross multiply
    193,163.06x = 419,561.44 × 419,561.44
  4. Step 4: Simplify right side
    193,163.06x = 176,031,799,837.07
  5. Step 5: Solve for x
    x = 176,031,799,837.07/193,163.06
  6. Step 6: Final answer
    x = 911,311.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.