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Finding the Third Proportional to 181,628,914.78 and 387,474,480.56

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Solution

The third proportional to 181,628,914.78 and 387,474,480.56 is: 826,611,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,628,914.78 : 387,474,480.56 = 387,474,480.56 : x
  2. Step 2: Convert to fraction form
    181,628,914.78/387,474,480.56 = 387,474,480.56/x
  3. Step 3: Cross multiply
    181,628,914.78x = 387,474,480.56 × 387,474,480.56
  4. Step 4: Simplify right side
    181,628,914.78x = 150,136,473,087,179,200
  5. Step 5: Solve for x
    x = 150,136,473,087,179,200/181,628,914.78
  6. Step 6: Final answer
    x = 826,611,078.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.