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Finding the Third Proportional to 90,064.83 and 194,046.89

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Solution

The third proportional to 90,064.83 and 194,046.89 is: 418,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,064.83 : 194,046.89 = 194,046.89 : x
  2. Step 2: Convert to fraction form
    90,064.83/194,046.89 = 194,046.89/x
  3. Step 3: Cross multiply
    90,064.83x = 194,046.89 × 194,046.89
  4. Step 4: Simplify right side
    90,064.83x = 37,654,195,761.23
  5. Step 5: Solve for x
    x = 37,654,195,761.23/90,064.83
  6. Step 6: Final answer
    x = 418,078.81

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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.