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Finding the Third Proportional to 181,136,322 and 397,857,392

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Solution

The third proportional to 181,136,322 and 397,857,392 is: 873,875,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,136,322 : 397,857,392 = 397,857,392 : x
  2. Step 2: Convert to fraction form
    181,136,322/397,857,392 = 397,857,392/x
  3. Step 3: Cross multiply
    181,136,322x = 397,857,392 × 397,857,392
  4. Step 4: Simplify right side
    181,136,322x = 158,290,504,369,041,664
  5. Step 5: Solve for x
    x = 158,290,504,369,041,664/181,136,322
  6. Step 6: Final answer
    x = 873,875,005.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.