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Finding the Third Proportional to 117,183,107 and 247,652,212

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Solution

The third proportional to 117,183,107 and 247,652,212 is: 523,382,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,183,107 : 247,652,212 = 247,652,212 : x
  2. Step 2: Convert to fraction form
    117,183,107/247,652,212 = 247,652,212/x
  3. Step 3: Cross multiply
    117,183,107x = 247,652,212 × 247,652,212
  4. Step 4: Simplify right side
    117,183,107x = 61,331,618,108,492,944
  5. Step 5: Solve for x
    x = 61,331,618,108,492,944/117,183,107
  6. Step 6: Final answer
    x = 523,382,761.21

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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.