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Finding the Third Proportional to 69,832.13 and 150,735.94

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Solution

The third proportional to 69,832.13 and 150,735.94 is: 325,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,832.13 : 150,735.94 = 150,735.94 : x
  2. Step 2: Convert to fraction form
    69,832.13/150,735.94 = 150,735.94/x
  3. Step 3: Cross multiply
    69,832.13x = 150,735.94 × 150,735.94
  4. Step 4: Simplify right side
    69,832.13x = 22,721,322,854.00
  5. Step 5: Solve for x
    x = 22,721,322,854.00/69,832.13
  6. Step 6: Final answer
    x = 325,370.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.