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Finding the Third Proportional to 166,171,684 and 384,657,361

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Solution

The third proportional to 166,171,684 and 384,657,361 is: 890,412,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,171,684 : 384,657,361 = 384,657,361 : x
  2. Step 2: Convert to fraction form
    166,171,684/384,657,361 = 384,657,361/x
  3. Step 3: Cross multiply
    166,171,684x = 384,657,361 × 384,657,361
  4. Step 4: Simplify right side
    166,171,684x = 147,961,285,371,484,320
  5. Step 5: Solve for x
    x = 147,961,285,371,484,320/166,171,684
  6. Step 6: Final answer
    x = 890,412,143.69

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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.