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Finding the Third Proportional to 82,185,198 and 123,385,923

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Solution

The third proportional to 82,185,198 and 123,385,923 is: 185,241,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,185,198 : 123,385,923 = 123,385,923 : x
  2. Step 2: Convert to fraction form
    82,185,198/123,385,923 = 123,385,923/x
  3. Step 3: Cross multiply
    82,185,198x = 123,385,923 × 123,385,923
  4. Step 4: Simplify right side
    82,185,198x = 15,224,085,994,561,928
  5. Step 5: Solve for x
    x = 15,224,085,994,561,928/82,185,198
  6. Step 6: Final answer
    x = 185,241,215.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.