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Finding the Third Proportional to 101,396.50 and 234,725.38

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Solution

The third proportional to 101,396.50 and 234,725.38 is: 543,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,396.50 : 234,725.38 = 234,725.38 : x
  2. Step 2: Convert to fraction form
    101,396.50/234,725.38 = 234,725.38/x
  3. Step 3: Cross multiply
    101,396.50x = 234,725.38 × 234,725.38
  4. Step 4: Simplify right side
    101,396.50x = 55,096,001,668.89
  5. Step 5: Solve for x
    x = 55,096,001,668.89/101,396.50
  6. Step 6: Final answer
    x = 543,371.83

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.