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Finding the Third Proportional to 85,672,652 and 130,517,751

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Solution

The third proportional to 85,672,652 and 130,517,751 is: 198,836,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,672,652 : 130,517,751 = 130,517,751 : x
  2. Step 2: Convert to fraction form
    85,672,652/130,517,751 = 130,517,751/x
  3. Step 3: Cross multiply
    85,672,652x = 130,517,751 × 130,517,751
  4. Step 4: Simplify right side
    85,672,652x = 17,034,883,326,098,000
  5. Step 5: Solve for x
    x = 17,034,883,326,098,000/85,672,652
  6. Step 6: Final answer
    x = 198,836,885.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.