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Finding the Third Proportional to 168,348,786 and 361,760,592

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Solution

The third proportional to 168,348,786 and 361,760,592 is: 777,378,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,348,786 : 361,760,592 = 361,760,592 : x
  2. Step 2: Convert to fraction form
    168,348,786/361,760,592 = 361,760,592/x
  3. Step 3: Cross multiply
    168,348,786x = 361,760,592 × 361,760,592
  4. Step 4: Simplify right side
    168,348,786x = 130,870,725,924,190,464
  5. Step 5: Solve for x
    x = 130,870,725,924,190,464/168,348,786
  6. Step 6: Final answer
    x = 777,378,495.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.