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Finding the Third Proportional to 65,027,940.75 and 106,753,150.50

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Solution

The third proportional to 65,027,940.75 and 106,753,150.50 is: 175,251,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,027,940.75 : 106,753,150.50 = 106,753,150.50 : x
  2. Step 2: Convert to fraction form
    65,027,940.75/106,753,150.50 = 106,753,150.50/x
  3. Step 3: Cross multiply
    65,027,940.75x = 106,753,150.50 × 106,753,150.50
  4. Step 4: Simplify right side
    65,027,940.75x = 11,396,235,141,675,650
  5. Step 5: Solve for x
    x = 11,396,235,141,675,650/65,027,940.75
  6. Step 6: Final answer
    x = 175,251,361.34

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.