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Finding the Third Proportional to 76,760,214 and 181,204,824

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Solution

The third proportional to 76,760,214 and 181,204,824 is: 427,763,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760,214 : 181,204,824 = 181,204,824 : x
  2. Step 2: Convert to fraction form
    76,760,214/181,204,824 = 181,204,824/x
  3. Step 3: Cross multiply
    76,760,214x = 181,204,824 × 181,204,824
  4. Step 4: Simplify right side
    76,760,214x = 32,835,188,240,870,976
  5. Step 5: Solve for x
    x = 32,835,188,240,870,976/76,760,214
  6. Step 6: Final answer
    x = 427,763,114.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.