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Finding the Third Proportional to 80,105,202 and 164,456,984

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Solution

The third proportional to 80,105,202 and 164,456,984 is: 337,632,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,202 : 164,456,984 = 164,456,984 : x
  2. Step 2: Convert to fraction form
    80,105,202/164,456,984 = 164,456,984/x
  3. Step 3: Cross multiply
    80,105,202x = 164,456,984 × 164,456,984
  4. Step 4: Simplify right side
    80,105,202x = 27,046,099,586,376,256
  5. Step 5: Solve for x
    x = 27,046,099,586,376,256/80,105,202
  6. Step 6: Final answer
    x = 337,632,249.98

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