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Finding the Third Proportional to 189,100,512 and 414,073,296

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Solution

The third proportional to 189,100,512 and 414,073,296 is: 906,696,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100,512 : 414,073,296 = 414,073,296 : x
  2. Step 2: Convert to fraction form
    189,100,512/414,073,296 = 414,073,296/x
  3. Step 3: Cross multiply
    189,100,512x = 414,073,296 × 414,073,296
  4. Step 4: Simplify right side
    189,100,512x = 171,456,694,460,303,616
  5. Step 5: Solve for x
    x = 171,456,694,460,303,616/189,100,512
  6. Step 6: Final answer
    x = 906,696,087.95

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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.