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Finding the Third Proportional to 230,991,192 and 513,628,375

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Solution

The third proportional to 230,991,192 and 513,628,375 is: 1,142,095,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991,192 : 513,628,375 = 513,628,375 : x
  2. Step 2: Convert to fraction form
    230,991,192/513,628,375 = 513,628,375/x
  3. Step 3: Cross multiply
    230,991,192x = 513,628,375 × 513,628,375
  4. Step 4: Simplify right side
    230,991,192x = 263,814,107,605,140,640
  5. Step 5: Solve for x
    x = 263,814,107,605,140,640/230,991,192
  6. Step 6: Final answer
    x = 1,142,095,961.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.