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Finding the Third Proportional to 96,062,846 and 206,715,136

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Solution

The third proportional to 96,062,846 and 206,715,136 is: 444,824,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,062,846 : 206,715,136 = 206,715,136 : x
  2. Step 2: Convert to fraction form
    96,062,846/206,715,136 = 206,715,136/x
  3. Step 3: Cross multiply
    96,062,846x = 206,715,136 × 206,715,136
  4. Step 4: Simplify right side
    96,062,846x = 42,731,147,451,498,496
  5. Step 5: Solve for x
    x = 42,731,147,451,498,496/96,062,846
  6. Step 6: Final answer
    x = 444,824,916.51

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Why These Related Problems?

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