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Finding the Third Proportional to 208,095,912 and 481,888,296

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Solution

The third proportional to 208,095,912 and 481,888,296 is: 1,115,910,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,095,912 : 481,888,296 = 481,888,296 : x
  2. Step 2: Convert to fraction form
    208,095,912/481,888,296 = 481,888,296/x
  3. Step 3: Cross multiply
    208,095,912x = 481,888,296 × 481,888,296
  4. Step 4: Simplify right side
    208,095,912x = 232,216,329,821,783,616
  5. Step 5: Solve for x
    x = 232,216,329,821,783,616/208,095,912
  6. Step 6: Final answer
    x = 1,115,910,099.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.