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Finding the Third Proportional to 85,745,236 and 182,551,256

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Solution

The third proportional to 85,745,236 and 182,551,256 is: 388,650,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,745,236 : 182,551,256 = 182,551,256 : x
  2. Step 2: Convert to fraction form
    85,745,236/182,551,256 = 182,551,256/x
  3. Step 3: Cross multiply
    85,745,236x = 182,551,256 × 182,551,256
  4. Step 4: Simplify right side
    85,745,236x = 33,324,961,067,177,536
  5. Step 5: Solve for x
    x = 33,324,961,067,177,536/85,745,236
  6. Step 6: Final answer
    x = 388,650,875.80

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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.