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Finding the Third Proportional to 69,396.75 and 151,277.63

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Solution

The third proportional to 69,396.75 and 151,277.63 is: 329,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,396.75 : 151,277.63 = 151,277.63 : x
  2. Step 2: Convert to fraction form
    69,396.75/151,277.63 = 151,277.63/x
  3. Step 3: Cross multiply
    69,396.75x = 151,277.63 × 151,277.63
  4. Step 4: Simplify right side
    69,396.75x = 22,884,919,825.64
  5. Step 5: Solve for x
    x = 22,884,919,825.64/69,396.75
  6. Step 6: Final answer
    x = 329,769.33

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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.