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Finding the Third Proportional to 189,477,195 and 414,670,936

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Solution

The third proportional to 189,477,195 and 414,670,936 is: 907,507,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,477,195 : 414,670,936 = 414,670,936 : x
  2. Step 2: Convert to fraction form
    189,477,195/414,670,936 = 414,670,936/x
  3. Step 3: Cross multiply
    189,477,195x = 414,670,936 × 414,670,936
  4. Step 4: Simplify right side
    189,477,195x = 171,951,985,163,116,096
  5. Step 5: Solve for x
    x = 171,951,985,163,116,096/189,477,195
  6. Step 6: Final answer
    x = 907,507,550.78

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Why These Related Problems?

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