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Finding the Third Proportional to 57,378,693 and 86,236,200

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Solution

The third proportional to 57,378,693 and 86,236,200 is: 129,607,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,378,693 : 86,236,200 = 86,236,200 : x
  2. Step 2: Convert to fraction form
    57,378,693/86,236,200 = 86,236,200/x
  3. Step 3: Cross multiply
    57,378,693x = 86,236,200 × 86,236,200
  4. Step 4: Simplify right side
    57,378,693x = 7,436,682,190,440,000
  5. Step 5: Solve for x
    x = 7,436,682,190,440,000/57,378,693
  6. Step 6: Final answer
    x = 129,607,033.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.