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Finding the Third Proportional to 80,105,051.25 and 164,456,709.75

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Solution

The third proportional to 80,105,051.25 and 164,456,709.75 is: 337,631,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,051.25 : 164,456,709.75 = 164,456,709.75 : x
  2. Step 2: Convert to fraction form
    80,105,051.25/164,456,709.75 = 164,456,709.75/x
  3. Step 3: Cross multiply
    80,105,051.25x = 164,456,709.75 × 164,456,709.75
  4. Step 4: Simplify right side
    80,105,051.25x = 27,046,009,381,795,744
  5. Step 5: Solve for x
    x = 27,046,009,381,795,744/80,105,051.25
  6. Step 6: Final answer
    x = 337,631,759.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.