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Finding the Third Proportional to 181,741,320 and 281,946,123

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Solution

The third proportional to 181,741,320 and 281,946,123 is: 437,399,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,741,320 : 281,946,123 = 281,946,123 : x
  2. Step 2: Convert to fraction form
    181,741,320/281,946,123 = 281,946,123/x
  3. Step 3: Cross multiply
    181,741,320x = 281,946,123 × 281,946,123
  4. Step 4: Simplify right side
    181,741,320x = 79,493,616,274,731,136
  5. Step 5: Solve for x
    x = 79,493,616,274,731,136/181,741,320
  6. Step 6: Final answer
    x = 437,399,795.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.