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Finding the Third Proportional to 184,066,839 and 408,993,903

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Solution

The third proportional to 184,066,839 and 408,993,903 is: 908,778,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,066,839 : 408,993,903 = 408,993,903 : x
  2. Step 2: Convert to fraction form
    184,066,839/408,993,903 = 408,993,903/x
  3. Step 3: Cross multiply
    184,066,839x = 408,993,903 × 408,993,903
  4. Step 4: Simplify right side
    184,066,839x = 167,276,012,691,173,408
  5. Step 5: Solve for x
    x = 167,276,012,691,173,408/184,066,839
  6. Step 6: Final answer
    x = 908,778,645.84

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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.