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Finding the Third Proportional to 184,718,928 and 401,589,152

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Solution

The third proportional to 184,718,928 and 401,589,152 is: 873,076,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,718,928 : 401,589,152 = 401,589,152 : x
  2. Step 2: Convert to fraction form
    184,718,928/401,589,152 = 401,589,152/x
  3. Step 3: Cross multiply
    184,718,928x = 401,589,152 × 401,589,152
  4. Step 4: Simplify right side
    184,718,928x = 161,273,847,004,079,104
  5. Step 5: Solve for x
    x = 161,273,847,004,079,104/184,718,928
  6. Step 6: Final answer
    x = 873,076,997.31

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Why These Related Problems?

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