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Finding the Third Proportional to 110,651,760 and 177,787,224

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Solution

The third proportional to 110,651,760 and 177,787,224 is: 285,655,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,651,760 : 177,787,224 = 177,787,224 : x
  2. Step 2: Convert to fraction form
    110,651,760/177,787,224 = 177,787,224/x
  3. Step 3: Cross multiply
    110,651,760x = 177,787,224 × 177,787,224
  4. Step 4: Simplify right side
    110,651,760x = 31,608,297,017,626,176
  5. Step 5: Solve for x
    x = 31,608,297,017,626,176/110,651,760
  6. Step 6: Final answer
    x = 285,655,619.19

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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.