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Finding the Third Proportional to 75,770,103 and 163,665,029

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Solution

The third proportional to 75,770,103 and 163,665,029 is: 353,519,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770,103 : 163,665,029 = 163,665,029 : x
  2. Step 2: Convert to fraction form
    75,770,103/163,665,029 = 163,665,029/x
  3. Step 3: Cross multiply
    75,770,103x = 163,665,029 × 163,665,029
  4. Step 4: Simplify right side
    75,770,103x = 26,786,241,717,570,840
  5. Step 5: Solve for x
    x = 26,786,241,717,570,840/75,770,103
  6. Step 6: Final answer
    x = 353,519,932.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.