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Finding the Third Proportional to 184,066,879 and 408,993,983

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Solution

The third proportional to 184,066,879 and 408,993,983 is: 908,778,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,066,879 : 408,993,983 = 408,993,983 : x
  2. Step 2: Convert to fraction form
    184,066,879/408,993,983 = 408,993,983/x
  3. Step 3: Cross multiply
    184,066,879x = 408,993,983 × 408,993,983
  4. Step 4: Simplify right side
    184,066,879x = 167,276,078,130,204,288
  5. Step 5: Solve for x
    x = 167,276,078,130,204,288/184,066,879
  6. Step 6: Final answer
    x = 908,778,803.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.