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Finding the Third Proportional to 102,472,226 and 223,138,918

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Solution

The third proportional to 102,472,226 and 223,138,918 is: 485,897,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,226 : 223,138,918 = 223,138,918 : x
  2. Step 2: Convert to fraction form
    102,472,226/223,138,918 = 223,138,918/x
  3. Step 3: Cross multiply
    102,472,226x = 223,138,918 × 223,138,918
  4. Step 4: Simplify right side
    102,472,226x = 49,790,976,726,210,720
  5. Step 5: Solve for x
    x = 49,790,976,726,210,720/102,472,226
  6. Step 6: Final answer
    x = 485,897,288.17

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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.