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Finding the Third Proportional to 105,500,216 and 222,336,112

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Solution

The third proportional to 105,500,216 and 222,336,112 is: 468,561,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,500,216 : 222,336,112 = 222,336,112 : x
  2. Step 2: Convert to fraction form
    105,500,216/222,336,112 = 222,336,112/x
  3. Step 3: Cross multiply
    105,500,216x = 222,336,112 × 222,336,112
  4. Step 4: Simplify right side
    105,500,216x = 49,433,346,699,276,544
  5. Step 5: Solve for x
    x = 49,433,346,699,276,544/105,500,216
  6. Step 6: Final answer
    x = 468,561,568.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.