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Finding the Third Proportional to 90,714.94 and 191,418.19

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Solution

The third proportional to 90,714.94 and 191,418.19 is: 403,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,714.94 : 191,418.19 = 191,418.19 : x
  2. Step 2: Convert to fraction form
    90,714.94/191,418.19 = 191,418.19/x
  3. Step 3: Cross multiply
    90,714.94x = 191,418.19 × 191,418.19
  4. Step 4: Simplify right side
    90,714.94x = 36,640,922,505.79
  5. Step 5: Solve for x
    x = 36,640,922,505.79/90,714.94
  6. Step 6: Final answer
    x = 403,912.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.