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Finding the Third Proportional to 180,379,121 and 386,267,380

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Solution

The third proportional to 180,379,121 and 386,267,380 is: 827,160,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,379,121 : 386,267,380 = 386,267,380 : x
  2. Step 2: Convert to fraction form
    180,379,121/386,267,380 = 386,267,380/x
  3. Step 3: Cross multiply
    180,379,121x = 386,267,380 × 386,267,380
  4. Step 4: Simplify right side
    180,379,121x = 149,202,488,852,064,384
  5. Step 5: Solve for x
    x = 149,202,488,852,064,384/180,379,121
  6. Step 6: Final answer
    x = 827,160,527.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.