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Finding the Third Proportional to 193,601.63 and 415,228.13

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Solution

The third proportional to 193,601.63 and 415,228.13 is: 890,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,601.63 : 415,228.13 = 415,228.13 : x
  2. Step 2: Convert to fraction form
    193,601.63/415,228.13 = 415,228.13/x
  3. Step 3: Cross multiply
    193,601.63x = 415,228.13 × 415,228.13
  4. Step 4: Simplify right side
    193,601.63x = 172,414,395,791.02
  5. Step 5: Solve for x
    x = 172,414,395,791.02/193,601.63
  6. Step 6: Final answer
    x = 890,562.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.