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Finding the Third Proportional to 236,566,802 and 517,729,816

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Solution

The third proportional to 236,566,802 and 517,729,816 is: 1,133,059,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,566,802 : 517,729,816 = 517,729,816 : x
  2. Step 2: Convert to fraction form
    236,566,802/517,729,816 = 517,729,816/x
  3. Step 3: Cross multiply
    236,566,802x = 517,729,816 × 517,729,816
  4. Step 4: Simplify right side
    236,566,802x = 268,044,162,375,393,856
  5. Step 5: Solve for x
    x = 268,044,162,375,393,856/236,566,802
  6. Step 6: Final answer
    x = 1,133,059,077.22

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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.