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Finding the Third Proportional to 144,136.13 and 309,593.81

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Solution

The third proportional to 144,136.13 and 309,593.81 is: 664,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,136.13 : 309,593.81 = 309,593.81 : x
  2. Step 2: Convert to fraction form
    144,136.13/309,593.81 = 309,593.81/x
  3. Step 3: Cross multiply
    144,136.13x = 309,593.81 × 309,593.81
  4. Step 4: Simplify right side
    144,136.13x = 95,848,328,738.29
  5. Step 5: Solve for x
    x = 95,848,328,738.29/144,136.13
  6. Step 6: Final answer
    x = 664,984.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.