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Finding the Third Proportional to 119,098,033.22 and 257,981,791.31

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Solution

The third proportional to 119,098,033.22 and 257,981,791.31 is: 558,822,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,098,033.22 : 257,981,791.31 = 257,981,791.31 : x
  2. Step 2: Convert to fraction form
    119,098,033.22/257,981,791.31 = 257,981,791.31/x
  3. Step 3: Cross multiply
    119,098,033.22x = 257,981,791.31 × 257,981,791.31
  4. Step 4: Simplify right side
    119,098,033.22x = 66,554,604,648,806,304
  5. Step 5: Solve for x
    x = 66,554,604,648,806,304/119,098,033.22
  6. Step 6: Final answer
    x = 558,822,029.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.