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Finding the Third Proportional to 226,376,721 and 485,053,218

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Solution

The third proportional to 226,376,721 and 485,053,218 is: 1,039,314,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,376,721 : 485,053,218 = 485,053,218 : x
  2. Step 2: Convert to fraction form
    226,376,721/485,053,218 = 485,053,218/x
  3. Step 3: Cross multiply
    226,376,721x = 485,053,218 × 485,053,218
  4. Step 4: Simplify right side
    226,376,721x = 235,276,624,292,155,520
  5. Step 5: Solve for x
    x = 235,276,624,292,155,520/226,376,721
  6. Step 6: Final answer
    x = 1,039,314,569.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.