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Finding the Third Proportional to 181,684,165 and 398,542,777

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Solution

The third proportional to 181,684,165 and 398,542,777 is: 874,244,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,684,165 : 398,542,777 = 398,542,777 : x
  2. Step 2: Convert to fraction form
    181,684,165/398,542,777 = 398,542,777/x
  3. Step 3: Cross multiply
    181,684,165x = 398,542,777 × 398,542,777
  4. Step 4: Simplify right side
    181,684,165x = 158,836,345,098,871,744
  5. Step 5: Solve for x
    x = 158,836,345,098,871,744/181,684,165
  6. Step 6: Final answer
    x = 874,244,296.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.