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Finding the Third Proportional to 231,331,704 and 308,407,860

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Solution

The third proportional to 231,331,704 and 308,407,860 is: 411,164,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,331,704 : 308,407,860 = 308,407,860 : x
  2. Step 2: Convert to fraction form
    231,331,704/308,407,860 = 308,407,860/x
  3. Step 3: Cross multiply
    231,331,704x = 308,407,860 × 308,407,860
  4. Step 4: Simplify right side
    231,331,704x = 95,115,408,109,779,600
  5. Step 5: Solve for x
    x = 95,115,408,109,779,600/231,331,704
  6. Step 6: Final answer
    x = 411,164,602.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.