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Finding the Third Proportional to 84,503,981 and 178,086,744

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Solution

The third proportional to 84,503,981 and 178,086,744 is: 375,306,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,503,981 : 178,086,744 = 178,086,744 : x
  2. Step 2: Convert to fraction form
    84,503,981/178,086,744 = 178,086,744/x
  3. Step 3: Cross multiply
    84,503,981x = 178,086,744 × 178,086,744
  4. Step 4: Simplify right side
    84,503,981x = 31,714,888,388,521,536
  5. Step 5: Solve for x
    x = 31,714,888,388,521,536/84,503,981
  6. Step 6: Final answer
    x = 375,306,441.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.