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Finding the Third Proportional to 201,781.13 and 303,150.09

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Solution

The third proportional to 201,781.13 and 303,150.09 is: 455,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,781.13 : 303,150.09 = 303,150.09 : x
  2. Step 2: Convert to fraction form
    201,781.13/303,150.09 = 303,150.09/x
  3. Step 3: Cross multiply
    201,781.13x = 303,150.09 × 303,150.09
  4. Step 4: Simplify right side
    201,781.13x = 91,899,979,340.63
  5. Step 5: Solve for x
    x = 91,899,979,340.63/201,781.13
  6. Step 6: Final answer
    x = 455,443.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.