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Finding the Third Proportional to 69,462.56 and 151,768.69

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Solution

The third proportional to 69,462.56 and 151,768.69 is: 331,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,462.56 : 151,768.69 = 151,768.69 : x
  2. Step 2: Convert to fraction form
    69,462.56/151,768.69 = 151,768.69/x
  3. Step 3: Cross multiply
    69,462.56x = 151,768.69 × 151,768.69
  4. Step 4: Simplify right side
    69,462.56x = 23,033,734,505.47
  5. Step 5: Solve for x
    x = 23,033,734,505.47/69,462.56
  6. Step 6: Final answer
    x = 331,599.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.