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Finding the Third Proportional to 80,105,054 and 164,456,712

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Solution

The third proportional to 80,105,054 and 164,456,712 is: 337,631,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,054 : 164,456,712 = 164,456,712 : x
  2. Step 2: Convert to fraction form
    80,105,054/164,456,712 = 164,456,712/x
  3. Step 3: Cross multiply
    80,105,054x = 164,456,712 × 164,456,712
  4. Step 4: Simplify right side
    80,105,054x = 27,046,010,121,850,944
  5. Step 5: Solve for x
    x = 27,046,010,121,850,944/80,105,054
  6. Step 6: Final answer
    x = 337,631,756.94

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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.