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Finding the Third Proportional to 81,267,174 and 173,555,856

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Solution

The third proportional to 81,267,174 and 173,555,856 is: 370,649,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,267,174 : 173,555,856 = 173,555,856 : x
  2. Step 2: Convert to fraction form
    81,267,174/173,555,856 = 173,555,856/x
  3. Step 3: Cross multiply
    81,267,174x = 173,555,856 × 173,555,856
  4. Step 4: Simplify right side
    81,267,174x = 30,121,635,151,892,736
  5. Step 5: Solve for x
    x = 30,121,635,151,892,736/81,267,174
  6. Step 6: Final answer
    x = 370,649,472.22

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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.