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Finding the Third Proportional to 193,622.48 and 419,412.09

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Solution

The third proportional to 193,622.48 and 419,412.09 is: 908,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,622.48 : 419,412.09 = 419,412.09 : x
  2. Step 2: Convert to fraction form
    193,622.48/419,412.09 = 419,412.09/x
  3. Step 3: Cross multiply
    193,622.48x = 419,412.09 × 419,412.09
  4. Step 4: Simplify right side
    193,622.48x = 175,906,504,383.76
  5. Step 5: Solve for x
    x = 175,906,504,383.76/193,622.48
  6. Step 6: Final answer
    x = 908,502.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.