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Finding the Third Proportional to 110,651,766 and 177,787,233

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Solution

The third proportional to 110,651,766 and 177,787,233 is: 285,655,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,651,766 : 177,787,233 = 177,787,233 : x
  2. Step 2: Convert to fraction form
    110,651,766/177,787,233 = 177,787,233/x
  3. Step 3: Cross multiply
    110,651,766x = 177,787,233 × 177,787,233
  4. Step 4: Simplify right side
    110,651,766x = 31,608,300,217,796,288
  5. Step 5: Solve for x
    x = 31,608,300,217,796,288/110,651,766
  6. Step 6: Final answer
    x = 285,655,632.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.