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Finding the Third Proportional to 193,794.75 and 411,045.75

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Solution

The third proportional to 193,794.75 and 411,045.75 is: 871,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,794.75 : 411,045.75 = 411,045.75 : x
  2. Step 2: Convert to fraction form
    193,794.75/411,045.75 = 411,045.75/x
  3. Step 3: Cross multiply
    193,794.75x = 411,045.75 × 411,045.75
  4. Step 4: Simplify right side
    193,794.75x = 168,958,608,593.06
  5. Step 5: Solve for x
    x = 168,958,608,593.06/193,794.75
  6. Step 6: Final answer
    x = 871,843.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.