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Finding the Third Proportional to 64,404.56 and 140,250.38

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Solution

The third proportional to 64,404.56 and 140,250.38 is: 305,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,404.56 : 140,250.38 = 140,250.38 : x
  2. Step 2: Convert to fraction form
    64,404.56/140,250.38 = 140,250.38/x
  3. Step 3: Cross multiply
    64,404.56x = 140,250.38 × 140,250.38
  4. Step 4: Simplify right side
    64,404.56x = 19,670,167,687.64
  5. Step 5: Solve for x
    x = 19,670,167,687.64/64,404.56
  6. Step 6: Final answer
    x = 305,415.75

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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.