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Finding the Third Proportional to 73,256,243,304 and 158,682,502,032

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Solution

The third proportional to 73,256,243,304 and 158,682,502,032 is: 343,726,832,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,256,243,304 : 158,682,502,032 = 158,682,502,032 : x
  2. Step 2: Convert to fraction form
    73,256,243,304/158,682,502,032 = 158,682,502,032/x
  3. Step 3: Cross multiply
    73,256,243,304x = 158,682,502,032 × 158,682,502,032
  4. Step 4: Simplify right side
    73,256,243,304x = 25,180,136,451,135,682,641,920
  5. Step 5: Solve for x
    x = 25,180,136,451,135,682,641,920/73,256,243,304
  6. Step 6: Final answer
    x = 343,726,832,218.83

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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.