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Finding the Third Proportional to 107,703,150 and 231,829,212

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Solution

The third proportional to 107,703,150 and 231,829,212 is: 499,008,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,703,150 : 231,829,212 = 231,829,212 : x
  2. Step 2: Convert to fraction form
    107,703,150/231,829,212 = 231,829,212/x
  3. Step 3: Cross multiply
    107,703,150x = 231,829,212 × 231,829,212
  4. Step 4: Simplify right side
    107,703,150x = 53,744,783,536,540,944
  5. Step 5: Solve for x
    x = 53,744,783,536,540,944/107,703,150
  6. Step 6: Final answer
    x = 499,008,464.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.