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Finding the Third Proportional to 230,981,910 and 313,798,599

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Solution

The third proportional to 230,981,910 and 313,798,599 is: 426,308,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,981,910 : 313,798,599 = 313,798,599 : x
  2. Step 2: Convert to fraction form
    230,981,910/313,798,599 = 313,798,599/x
  3. Step 3: Cross multiply
    230,981,910x = 313,798,599 × 313,798,599
  4. Step 4: Simplify right side
    230,981,910x = 98,469,560,734,362,800
  5. Step 5: Solve for x
    x = 98,469,560,734,362,800/230,981,910
  6. Step 6: Final answer
    x = 426,308,539.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.