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Finding the Third Proportional to 52,642,337.50 and 113,608,163

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Solution

The third proportional to 52,642,337.50 and 113,608,163 is: 245,179,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642,337.50 : 113,608,163 = 113,608,163 : x
  2. Step 2: Convert to fraction form
    52,642,337.50/113,608,163 = 113,608,163/x
  3. Step 3: Cross multiply
    52,642,337.50x = 113,608,163 × 113,608,163
  4. Step 4: Simplify right side
    52,642,337.50x = 12,906,814,700,234,568
  5. Step 5: Solve for x
    x = 12,906,814,700,234,568/52,642,337.50
  6. Step 6: Final answer
    x = 245,179,361.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.