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Finding the Third Proportional to 90,064.69 and 194,046.19

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Solution

The third proportional to 90,064.69 and 194,046.19 is: 418,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,064.69 : 194,046.19 = 194,046.19 : x
  2. Step 2: Convert to fraction form
    90,064.69/194,046.19 = 194,046.19/x
  3. Step 3: Cross multiply
    90,064.69x = 194,046.19 × 194,046.19
  4. Step 4: Simplify right side
    90,064.69x = 37,653,922,883.29
  5. Step 5: Solve for x
    x = 37,653,922,883.29/90,064.69
  6. Step 6: Final answer
    x = 418,076.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.