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Finding the Third Proportional to 82,452,043 and 171,686,249

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Solution

The third proportional to 82,452,043 and 171,686,249 is: 357,494,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,452,043 : 171,686,249 = 171,686,249 : x
  2. Step 2: Convert to fraction form
    82,452,043/171,686,249 = 171,686,249/x
  3. Step 3: Cross multiply
    82,452,043x = 171,686,249 × 171,686,249
  4. Step 4: Simplify right side
    82,452,043x = 29,476,168,095,690,000
  5. Step 5: Solve for x
    x = 29,476,168,095,690,000/82,452,043
  6. Step 6: Final answer
    x = 357,494,696.59

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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.