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Finding the Third Proportional to 188,301,384 and 406,328,436

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Solution

The third proportional to 188,301,384 and 406,328,436 is: 876,800,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,301,384 : 406,328,436 = 406,328,436 : x
  2. Step 2: Convert to fraction form
    188,301,384/406,328,436 = 406,328,436/x
  3. Step 3: Cross multiply
    188,301,384x = 406,328,436 × 406,328,436
  4. Step 4: Simplify right side
    188,301,384x = 165,102,797,902,206,080
  5. Step 5: Solve for x
    x = 165,102,797,902,206,080/188,301,384
  6. Step 6: Final answer
    x = 876,800,766.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.