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Finding the Third Proportional to 82,413,440 and 171,608,832

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Solution

The third proportional to 82,413,440 and 171,608,832 is: 357,339,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,413,440 : 171,608,832 = 171,608,832 : x
  2. Step 2: Convert to fraction form
    82,413,440/171,608,832 = 171,608,832/x
  3. Step 3: Cross multiply
    82,413,440x = 171,608,832 × 171,608,832
  4. Step 4: Simplify right side
    82,413,440x = 29,449,591,220,404,224
  5. Step 5: Solve for x
    x = 29,449,591,220,404,224/82,413,440
  6. Step 6: Final answer
    x = 357,339,667.18

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