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Finding the Third Proportional to 223,192,635 and 472,936,422

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Solution

The third proportional to 223,192,635 and 472,936,422 is: 1,002,133,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,192,635 : 472,936,422 = 472,936,422 : x
  2. Step 2: Convert to fraction form
    223,192,635/472,936,422 = 472,936,422/x
  3. Step 3: Cross multiply
    223,192,635x = 472,936,422 × 472,936,422
  4. Step 4: Simplify right side
    223,192,635x = 223,668,859,254,162,080
  5. Step 5: Solve for x
    x = 223,668,859,254,162,080/223,192,635
  6. Step 6: Final answer
    x = 1,002,133,691.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.