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Finding the Third Proportional to 236,566,800 and 517,729,812

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Solution

The third proportional to 236,566,800 and 517,729,812 is: 1,133,059,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,566,800 : 517,729,812 = 517,729,812 : x
  2. Step 2: Convert to fraction form
    236,566,800/517,729,812 = 517,729,812/x
  3. Step 3: Cross multiply
    236,566,800x = 517,729,812 × 517,729,812
  4. Step 4: Simplify right side
    236,566,800x = 268,044,158,233,555,328
  5. Step 5: Solve for x
    x = 268,044,158,233,555,328/236,566,800
  6. Step 6: Final answer
    x = 1,133,059,069.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.