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Finding the Third Proportional to 181,741,332 and 281,946,141

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Solution

The third proportional to 181,741,332 and 281,946,141 is: 437,399,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,741,332 : 281,946,141 = 281,946,141 : x
  2. Step 2: Convert to fraction form
    181,741,332/281,946,141 = 281,946,141/x
  3. Step 3: Cross multiply
    181,741,332x = 281,946,141 × 281,946,141
  4. Step 4: Simplify right side
    181,741,332x = 79,493,626,424,791,888
  5. Step 5: Solve for x
    x = 79,493,626,424,791,888/181,741,332
  6. Step 6: Final answer
    x = 437,399,822.87

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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.