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Finding the Third Proportional to 82,452,052 and 171,686,268

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Solution

The third proportional to 82,452,052 and 171,686,268 is: 357,494,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,452,052 : 171,686,268 = 171,686,268 : x
  2. Step 2: Convert to fraction form
    82,452,052/171,686,268 = 171,686,268/x
  3. Step 3: Cross multiply
    82,452,052x = 171,686,268 × 171,686,268
  4. Step 4: Simplify right side
    82,452,052x = 29,476,174,619,767,824
  5. Step 5: Solve for x
    x = 29,476,174,619,767,824/82,452,052
  6. Step 6: Final answer
    x = 357,494,736.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.