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Finding the Third Proportional to 86,822,335,887 and 188,068,512,042

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Solution

The third proportional to 86,822,335,887 and 188,068,512,042 is: 407,380,944,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,822,335,887 : 188,068,512,042 = 188,068,512,042 : x
  2. Step 2: Convert to fraction form
    86,822,335,887/188,068,512,042 = 188,068,512,042/x
  3. Step 3: Cross multiply
    86,822,335,887x = 188,068,512,042 × 188,068,512,042
  4. Step 4: Simplify right side
    86,822,335,887x = 35,369,765,221,691,897,675,776
  5. Step 5: Solve for x
    x = 35,369,765,221,691,897,675,776/86,822,335,887
  6. Step 6: Final answer
    x = 407,380,944,780.45

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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.