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Finding the Third Proportional to 195,324,692,166 and 418,910,918,562

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Solution

The third proportional to 195,324,692,166 and 418,910,918,562 is: 898,434,067,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,324,692,166 : 418,910,918,562 = 418,910,918,562 : x
  2. Step 2: Convert to fraction form
    195,324,692,166/418,910,918,562 = 418,910,918,562/x
  3. Step 3: Cross multiply
    195,324,692,166x = 418,910,918,562 × 418,910,918,562
  4. Step 4: Simplify right side
    195,324,692,166x = 175,486,357,690,458,606,403,584
  5. Step 5: Solve for x
    x = 175,486,357,690,458,606,403,584/195,324,692,166
  6. Step 6: Final answer
    x = 898,434,067,625.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.