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Finding the Third Proportional to 181,696,331,226 and 395,387,135,404

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Solution

The third proportional to 181,696,331,226 and 395,387,135,404 is: 860,397,047,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,696,331,226 : 395,387,135,404 = 395,387,135,404 : x
  2. Step 2: Convert to fraction form
    181,696,331,226/395,387,135,404 = 395,387,135,404/x
  3. Step 3: Cross multiply
    181,696,331,226x = 395,387,135,404 × 395,387,135,404
  4. Step 4: Simplify right side
    181,696,331,226x = 156,330,986,842,981,033,574,400
  5. Step 5: Solve for x
    x = 156,330,986,842,981,033,574,400/181,696,331,226
  6. Step 6: Final answer
    x = 860,397,047,029.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.