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Finding the Third Proportional to 68,061,966 and 104,615,649

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Solution

The third proportional to 68,061,966 and 104,615,649 is: 160,801,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,061,966 : 104,615,649 = 104,615,649 : x
  2. Step 2: Convert to fraction form
    68,061,966/104,615,649 = 104,615,649/x
  3. Step 3: Cross multiply
    68,061,966x = 104,615,649 × 104,615,649
  4. Step 4: Simplify right side
    68,061,966x = 10,944,434,015,691,200
  5. Step 5: Solve for x
    x = 10,944,434,015,691,200/68,061,966
  6. Step 6: Final answer
    x = 160,801,026.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.