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Finding the Third Proportional to 180,379,119 and 386,267,376

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Solution

The third proportional to 180,379,119 and 386,267,376 is: 827,160,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,379,119 : 386,267,376 = 386,267,376 : x
  2. Step 2: Convert to fraction form
    180,379,119/386,267,376 = 386,267,376/x
  3. Step 3: Cross multiply
    180,379,119x = 386,267,376 × 386,267,376
  4. Step 4: Simplify right side
    180,379,119x = 149,202,485,761,925,376
  5. Step 5: Solve for x
    x = 149,202,485,761,925,376/180,379,119
  6. Step 6: Final answer
    x = 827,160,519.41

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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.