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Finding the Third Proportional to 80,105,172 and 164,456,928

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Solution

The third proportional to 80,105,172 and 164,456,928 is: 337,632,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,172 : 164,456,928 = 164,456,928 : x
  2. Step 2: Convert to fraction form
    80,105,172/164,456,928 = 164,456,928/x
  3. Step 3: Cross multiply
    80,105,172x = 164,456,928 × 164,456,928
  4. Step 4: Simplify right side
    80,105,172x = 27,046,081,167,197,184
  5. Step 5: Solve for x
    x = 27,046,081,167,197,184/80,105,172
  6. Step 6: Final answer
    x = 337,632,146.49

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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.