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Finding the Third Proportional to 146,508,891.75 and 305,074,843.59

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Solution

The third proportional to 146,508,891.75 and 305,074,843.59 is: 635,256,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,508,891.75 : 305,074,843.59 = 305,074,843.59 : x
  2. Step 2: Convert to fraction form
    146,508,891.75/305,074,843.59 = 305,074,843.59/x
  3. Step 3: Cross multiply
    146,508,891.75x = 305,074,843.59 × 305,074,843.59
  4. Step 4: Simplify right side
    146,508,891.75x = 93,070,660,193,751,024
  5. Step 5: Solve for x
    x = 93,070,660,193,751,024/146,508,891.75
  6. Step 6: Final answer
    x = 635,256,052.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.