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Finding the Third Proportional to 181,628,917.50 and 387,474,487.50

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Solution

The third proportional to 181,628,917.50 and 387,474,487.50 is: 826,611,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,628,917.50 : 387,474,487.50 = 387,474,487.50 : x
  2. Step 2: Convert to fraction form
    181,628,917.50/387,474,487.50 = 387,474,487.50/x
  3. Step 3: Cross multiply
    181,628,917.50x = 387,474,487.50 × 387,474,487.50
  4. Step 4: Simplify right side
    181,628,917.50x = 150,136,478,463,387,648
  5. Step 5: Solve for x
    x = 150,136,478,463,387,648/181,628,917.50
  6. Step 6: Final answer
    x = 826,611,095.47

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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.