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Finding the Third Proportional to 150,103.13 and 231,784.03

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Solution

The third proportional to 150,103.13 and 231,784.03 is: 357,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,103.13 : 231,784.03 = 231,784.03 : x
  2. Step 2: Convert to fraction form
    150,103.13/231,784.03 = 231,784.03/x
  3. Step 3: Cross multiply
    150,103.13x = 231,784.03 × 231,784.03
  4. Step 4: Simplify right side
    150,103.13x = 53,723,837,142.50
  5. Step 5: Solve for x
    x = 53,723,837,142.50/150,103.13
  6. Step 6: Final answer
    x = 357,912.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.