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Finding the Third Proportional to 167,949,060,177 and 370,131,487,602

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Solution

The third proportional to 167,949,060,177 and 370,131,487,602 is: 815,707,560,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,949,060,177 : 370,131,487,602 = 370,131,487,602 : x
  2. Step 2: Convert to fraction form
    167,949,060,177/370,131,487,602 = 370,131,487,602/x
  3. Step 3: Cross multiply
    167,949,060,177x = 370,131,487,602 × 370,131,487,602
  4. Step 4: Simplify right side
    167,949,060,177x = 136,997,318,114,469,484,691,456
  5. Step 5: Solve for x
    x = 136,997,318,114,469,484,691,456/167,949,060,177
  6. Step 6: Final answer
    x = 815,707,560,197.65

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Why These Related Problems?

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