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Finding the Third Proportional to 91,923 and 193,122

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Solution

The third proportional to 91,923 and 193,122 is: 405,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,923 : 193,122 = 193,122 : x
  2. Step 2: Convert to fraction form
    91,923/193,122 = 193,122/x
  3. Step 3: Cross multiply
    91,923x = 193,122 × 193,122
  4. Step 4: Simplify right side
    91,923x = 37,296,106,884
  5. Step 5: Solve for x
    x = 37,296,106,884/91,923
  6. Step 6: Final answer
    x = 405,732.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.