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Finding the Third Proportional to 83,304,110 and 179,409,757

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Solution

The third proportional to 83,304,110 and 179,409,757 is: 386,389,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,304,110 : 179,409,757 = 179,409,757 : x
  2. Step 2: Convert to fraction form
    83,304,110/179,409,757 = 179,409,757/x
  3. Step 3: Cross multiply
    83,304,110x = 179,409,757 × 179,409,757
  4. Step 4: Simplify right side
    83,304,110x = 32,187,860,906,799,048
  5. Step 5: Solve for x
    x = 32,187,860,906,799,048/83,304,110
  6. Step 6: Final answer
    x = 386,389,830.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.