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Finding the Third Proportional to 83,668,120 and 181,229,456

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Solution

The third proportional to 83,668,120 and 181,229,456 is: 392,552,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668,120 : 181,229,456 = 181,229,456 : x
  2. Step 2: Convert to fraction form
    83,668,120/181,229,456 = 181,229,456/x
  3. Step 3: Cross multiply
    83,668,120x = 181,229,456 × 181,229,456
  4. Step 4: Simplify right side
    83,668,120x = 32,844,115,722,055,936
  5. Step 5: Solve for x
    x = 32,844,115,722,055,936/83,668,120
  6. Step 6: Final answer
    x = 392,552,333.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.