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Finding the Third Proportional to 80,105,049 and 164,456,707.50

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Solution

The third proportional to 80,105,049 and 164,456,707.50 is: 337,631,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,049 : 164,456,707.50 = 164,456,707.50 : x
  2. Step 2: Convert to fraction form
    80,105,049/164,456,707.50 = 164,456,707.50/x
  3. Step 3: Cross multiply
    80,105,049x = 164,456,707.50 × 164,456,707.50
  4. Step 4: Simplify right side
    80,105,049x = 27,046,008,641,740,556
  5. Step 5: Solve for x
    x = 27,046,008,641,740,556/80,105,049
  6. Step 6: Final answer
    x = 337,631,759.54

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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.