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Finding the Third Proportional to 110,651,764 and 177,787,230

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Solution

The third proportional to 110,651,764 and 177,787,230 is: 285,655,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,651,764 : 177,787,230 = 177,787,230 : x
  2. Step 2: Convert to fraction form
    110,651,764/177,787,230 = 177,787,230/x
  3. Step 3: Cross multiply
    110,651,764x = 177,787,230 × 177,787,230
  4. Step 4: Simplify right side
    110,651,764x = 31,608,299,151,072,900
  5. Step 5: Solve for x
    x = 31,608,299,151,072,900/110,651,764
  6. Step 6: Final answer
    x = 285,655,628.15

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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.