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Finding the Third Proportional to 80,083,676 and 172,239,592

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Solution

The third proportional to 80,083,676 and 172,239,592 is: 370,443,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,083,676 : 172,239,592 = 172,239,592 : x
  2. Step 2: Convert to fraction form
    80,083,676/172,239,592 = 172,239,592/x
  3. Step 3: Cross multiply
    80,083,676x = 172,239,592 × 172,239,592
  4. Step 4: Simplify right side
    80,083,676x = 29,666,477,052,326,464
  5. Step 5: Solve for x
    x = 29,666,477,052,326,464/80,083,676
  6. Step 6: Final answer
    x = 370,443,497.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.