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Finding the Third Proportional to 67,144,195,183.50 and 145,617,321,073.50

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Solution

The third proportional to 67,144,195,183.50 and 145,617,321,073.50 is: 315,803,981,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,144,195,183.50 : 145,617,321,073.50 = 145,617,321,073.50 : x
  2. Step 2: Convert to fraction form
    67,144,195,183.50/145,617,321,073.50 = 145,617,321,073.50/x
  3. Step 3: Cross multiply
    67,144,195,183.50x = 145,617,321,073.50 × 145,617,321,073.50
  4. Step 4: Simplify right side
    67,144,195,183.50x = 21,204,404,196,622,787,936,256
  5. Step 5: Solve for x
    x = 21,204,404,196,622,787,936,256/67,144,195,183.50
  6. Step 6: Final answer
    x = 315,803,981,843.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.