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Finding the Third Proportional to 69,396.75 and 152,431.88

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Solution

The third proportional to 69,396.75 and 152,431.88 is: 334,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,396.75 : 152,431.88 = 152,431.88 : x
  2. Step 2: Convert to fraction form
    69,396.75/152,431.88 = 152,431.88/x
  3. Step 3: Cross multiply
    69,396.75x = 152,431.88 × 152,431.88
  4. Step 4: Simplify right side
    69,396.75x = 23,235,476,516.02
  5. Step 5: Solve for x
    x = 23,235,476,516.02/69,396.75
  6. Step 6: Final answer
    x = 334,820.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.