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Finding the Third Proportional to 95,672,832 and 204,101,760

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Solution

The third proportional to 95,672,832 and 204,101,760 is: 435,416,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,672,832 : 204,101,760 = 204,101,760 : x
  2. Step 2: Convert to fraction form
    95,672,832/204,101,760 = 204,101,760/x
  3. Step 3: Cross multiply
    95,672,832x = 204,101,760 × 204,101,760
  4. Step 4: Simplify right side
    95,672,832x = 41,657,528,435,097,600
  5. Step 5: Solve for x
    x = 41,657,528,435,097,600/95,672,832
  6. Step 6: Final answer
    x = 435,416,487.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.