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Finding the Third Proportional to 193,812.75 and 411,105.75

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Solution

The third proportional to 193,812.75 and 411,105.75 is: 872,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,812.75 : 411,105.75 = 411,105.75 : x
  2. Step 2: Convert to fraction form
    193,812.75/411,105.75 = 411,105.75/x
  3. Step 3: Cross multiply
    193,812.75x = 411,105.75 × 411,105.75
  4. Step 4: Simplify right side
    193,812.75x = 169,007,937,683.06
  5. Step 5: Solve for x
    x = 169,007,937,683.06/193,812.75
  6. Step 6: Final answer
    x = 872,016.61

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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.