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Finding the Third Proportional to 194,856,192 and 419,105,664

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Solution

The third proportional to 194,856,192 and 419,105,664 is: 901,431,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,856,192 : 419,105,664 = 419,105,664 : x
  2. Step 2: Convert to fraction form
    194,856,192/419,105,664 = 419,105,664/x
  3. Step 3: Cross multiply
    194,856,192x = 419,105,664 × 419,105,664
  4. Step 4: Simplify right side
    194,856,192x = 175,649,557,596,880,896
  5. Step 5: Solve for x
    x = 175,649,557,596,880,896/194,856,192
  6. Step 6: Final answer
    x = 901,431,747.15

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.