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Finding the Third Proportional to 80,104,902.75 and 164,456,412.75

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Solution

The third proportional to 80,104,902.75 and 164,456,412.75 is: 337,631,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,104,902.75 : 164,456,412.75 = 164,456,412.75 : x
  2. Step 2: Convert to fraction form
    80,104,902.75/164,456,412.75 = 164,456,412.75/x
  3. Step 3: Cross multiply
    80,104,902.75x = 164,456,412.75 × 164,456,412.75
  4. Step 4: Simplify right side
    80,104,902.75x = 27,045,911,694,598,364
  5. Step 5: Solve for x
    x = 27,045,911,694,598,364/80,104,902.75
  6. Step 6: Final answer
    x = 337,631,165.71

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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.