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Finding the Third Proportional to 166,171,680 and 384,657,351

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Solution

The third proportional to 166,171,680 and 384,657,351 is: 890,412,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,171,680 : 384,657,351 = 384,657,351 : x
  2. Step 2: Convert to fraction form
    166,171,680/384,657,351 = 384,657,351/x
  3. Step 3: Cross multiply
    166,171,680x = 384,657,351 × 384,657,351
  4. Step 4: Simplify right side
    166,171,680x = 147,961,277,678,337,216
  5. Step 5: Solve for x
    x = 147,961,277,678,337,216/166,171,680
  6. Step 6: Final answer
    x = 890,412,118.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.