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Finding the Third Proportional to 110,766,906 and 171,956,142

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Solution

The third proportional to 110,766,906 and 171,956,142 is: 266,947,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,766,906 : 171,956,142 = 171,956,142 : x
  2. Step 2: Convert to fraction form
    110,766,906/171,956,142 = 171,956,142/x
  3. Step 3: Cross multiply
    110,766,906x = 171,956,142 × 171,956,142
  4. Step 4: Simplify right side
    110,766,906x = 29,568,914,771,524,164
  5. Step 5: Solve for x
    x = 29,568,914,771,524,164/110,766,906
  6. Step 6: Final answer
    x = 266,947,194.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.