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Finding the Third Proportional to 181,504,098 and 398,274,372

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Solution

The third proportional to 181,504,098 and 398,274,372 is: 873,933,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,504,098 : 398,274,372 = 398,274,372 : x
  2. Step 2: Convert to fraction form
    181,504,098/398,274,372 = 398,274,372/x
  3. Step 3: Cross multiply
    181,504,098x = 398,274,372 × 398,274,372
  4. Step 4: Simplify right side
    181,504,098x = 158,622,475,391,994,368
  5. Step 5: Solve for x
    x = 158,622,475,391,994,368/181,504,098
  6. Step 6: Final answer
    x = 873,933,300.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.