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Finding the Third Proportional to 190,826,856 and 419,142,192

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Solution

The third proportional to 190,826,856 and 419,142,192 is: 920,626,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,826,856 : 419,142,192 = 419,142,192 : x
  2. Step 2: Convert to fraction form
    190,826,856/419,142,192 = 419,142,192/x
  3. Step 3: Cross multiply
    190,826,856x = 419,142,192 × 419,142,192
  4. Step 4: Simplify right side
    190,826,856x = 175,680,177,114,564,864
  5. Step 5: Solve for x
    x = 175,680,177,114,564,864/190,826,856
  6. Step 6: Final answer
    x = 920,626,062.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.