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Finding the Third Proportional to 158,876,987,384 and 345,648,031,600

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Solution

The third proportional to 158,876,987,384 and 345,648,031,600 is: 751,981,540,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,876,987,384 : 345,648,031,600 = 345,648,031,600 : x
  2. Step 2: Convert to fraction form
    158,876,987,384/345,648,031,600 = 345,648,031,600/x
  3. Step 3: Cross multiply
    158,876,987,384x = 345,648,031,600 × 345,648,031,600
  4. Step 4: Simplify right side
    158,876,987,384x = 119,472,561,748,954,606,206,976
  5. Step 5: Solve for x
    x = 119,472,561,748,954,606,206,976/158,876,987,384
  6. Step 6: Final answer
    x = 751,981,540,663.24

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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.