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Finding the Third Proportional to 83,375,912 and 181,104,687

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Solution

The third proportional to 83,375,912 and 181,104,687 is: 393,385,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,375,912 : 181,104,687 = 181,104,687 : x
  2. Step 2: Convert to fraction form
    83,375,912/181,104,687 = 181,104,687/x
  3. Step 3: Cross multiply
    83,375,912x = 181,104,687 × 181,104,687
  4. Step 4: Simplify right side
    83,375,912x = 32,798,907,653,367,968
  5. Step 5: Solve for x
    x = 32,798,907,653,367,968/83,375,912
  6. Step 6: Final answer
    x = 393,385,893.68

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Why These Related Problems?

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