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Finding the Third Proportional to 81,384,296 and 113,837,204

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Solution

The third proportional to 81,384,296 and 113,837,204 is: 159,231,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,384,296 : 113,837,204 = 113,837,204 : x
  2. Step 2: Convert to fraction form
    81,384,296/113,837,204 = 113,837,204/x
  3. Step 3: Cross multiply
    81,384,296x = 113,837,204 × 113,837,204
  4. Step 4: Simplify right side
    81,384,296x = 12,958,909,014,537,616
  5. Step 5: Solve for x
    x = 12,958,909,014,537,616/81,384,296
  6. Step 6: Final answer
    x = 159,231,075.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.