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Finding the Third Proportional to 193,663.41 and 419,485.08

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Solution

The third proportional to 193,663.41 and 419,485.08 is: 908,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,663.41 : 419,485.08 = 419,485.08 : x
  2. Step 2: Convert to fraction form
    193,663.41/419,485.08 = 419,485.08/x
  3. Step 3: Cross multiply
    193,663.41x = 419,485.08 × 419,485.08
  4. Step 4: Simplify right side
    193,663.41x = 175,967,730,769.54
  5. Step 5: Solve for x
    x = 175,967,730,769.54/193,663.41
  6. Step 6: Final answer
    x = 908,626.64

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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.