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Finding the Third Proportional to 102,472,228 and 223,138,922

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Solution

The third proportional to 102,472,228 and 223,138,922 is: 485,897,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,228 : 223,138,922 = 223,138,922 : x
  2. Step 2: Convert to fraction form
    102,472,228/223,138,922 = 223,138,922/x
  3. Step 3: Cross multiply
    102,472,228x = 223,138,922 × 223,138,922
  4. Step 4: Simplify right side
    102,472,228x = 49,790,978,511,322,080
  5. Step 5: Solve for x
    x = 49,790,978,511,322,080/102,472,228
  6. Step 6: Final answer
    x = 485,897,296.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.