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Finding the Third Proportional to 117,183,108 and 247,652,214

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Solution

The third proportional to 117,183,108 and 247,652,214 is: 523,382,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,183,108 : 247,652,214 = 247,652,214 : x
  2. Step 2: Convert to fraction form
    117,183,108/247,652,214 = 247,652,214/x
  3. Step 3: Cross multiply
    117,183,108x = 247,652,214 × 247,652,214
  4. Step 4: Simplify right side
    117,183,108x = 61,331,619,099,101,792
  5. Step 5: Solve for x
    x = 61,331,619,099,101,792/117,183,108
  6. Step 6: Final answer
    x = 523,382,765.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.