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Finding the Third Proportional to 82,413,336 and 171,608,637

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Solution

The third proportional to 82,413,336 and 171,608,637 is: 357,339,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,413,336 : 171,608,637 = 171,608,637 : x
  2. Step 2: Convert to fraction form
    82,413,336/171,608,637 = 171,608,637/x
  3. Step 3: Cross multiply
    82,413,336x = 171,608,637 × 171,608,637
  4. Step 4: Simplify right side
    82,413,336x = 29,449,524,292,997,768
  5. Step 5: Solve for x
    x = 29,449,524,292,997,768/82,413,336
  6. Step 6: Final answer
    x = 357,339,306.02

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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.