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Finding the Third Proportional to 193,692.94 and 419,556.38

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Solution

The third proportional to 193,692.94 and 419,556.38 is: 908,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,692.94 : 419,556.38 = 419,556.38 : x
  2. Step 2: Convert to fraction form
    193,692.94/419,556.38 = 419,556.38/x
  3. Step 3: Cross multiply
    193,692.94x = 419,556.38 × 419,556.38
  4. Step 4: Simplify right side
    193,692.94x = 176,027,551,803.14
  5. Step 5: Solve for x
    x = 176,027,551,803.14/193,692.94
  6. Step 6: Final answer
    x = 908,796.95

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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.