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Finding the Third Proportional to 230,929,569 and 502,514,375

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Solution

The third proportional to 230,929,569 and 502,514,375 is: 1,093,496,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,929,569 : 502,514,375 = 502,514,375 : x
  2. Step 2: Convert to fraction form
    230,929,569/502,514,375 = 502,514,375/x
  3. Step 3: Cross multiply
    230,929,569x = 502,514,375 × 502,514,375
  4. Step 4: Simplify right side
    230,929,569x = 252,520,697,081,640,640
  5. Step 5: Solve for x
    x = 252,520,697,081,640,640/230,929,569
  6. Step 6: Final answer
    x = 1,093,496,593.68

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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.