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Finding the Third Proportional to 303,231,231 and 465,800,298

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Solution

The third proportional to 303,231,231 and 465,800,298 is: 715,526,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,231,231 : 465,800,298 = 465,800,298 : x
  2. Step 2: Convert to fraction form
    303,231,231/465,800,298 = 465,800,298/x
  3. Step 3: Cross multiply
    303,231,231x = 465,800,298 × 465,800,298
  4. Step 4: Simplify right side
    303,231,231x = 216,969,917,616,888,800
  5. Step 5: Solve for x
    x = 216,969,917,616,888,800/303,231,231
  6. Step 6: Final answer
    x = 715,526,289.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.