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Finding the Third Proportional to 90,649.44 and 193,754.53

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Solution

The third proportional to 90,649.44 and 193,754.53 is: 414,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,649.44 : 193,754.53 = 193,754.53 : x
  2. Step 2: Convert to fraction form
    90,649.44/193,754.53 = 193,754.53/x
  3. Step 3: Cross multiply
    90,649.44x = 193,754.53 × 193,754.53
  4. Step 4: Simplify right side
    90,649.44x = 37,540,818,379.91
  5. Step 5: Solve for x
    x = 37,540,818,379.91/90,649.44
  6. Step 6: Final answer
    x = 414,131.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.