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Finding the Third Proportional to 115,274,238 and 247,023,147

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Solution

The third proportional to 115,274,238 and 247,023,147 is: 529,350,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,274,238 : 247,023,147 = 247,023,147 : x
  2. Step 2: Convert to fraction form
    115,274,238/247,023,147 = 247,023,147/x
  3. Step 3: Cross multiply
    115,274,238x = 247,023,147 × 247,023,147
  4. Step 4: Simplify right side
    115,274,238x = 61,020,435,153,783,608
  5. Step 5: Solve for x
    x = 61,020,435,153,783,608/115,274,238
  6. Step 6: Final answer
    x = 529,350,149.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.