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Finding the Third Proportional to 109,481,652 and 153,061,794

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Solution

The third proportional to 109,481,652 and 153,061,794 is: 213,989,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,481,652 : 153,061,794 = 153,061,794 : x
  2. Step 2: Convert to fraction form
    109,481,652/153,061,794 = 153,061,794/x
  3. Step 3: Cross multiply
    109,481,652x = 153,061,794 × 153,061,794
  4. Step 4: Simplify right side
    109,481,652x = 23,427,912,782,498,436
  5. Step 5: Solve for x
    x = 23,427,912,782,498,436/109,481,652
  6. Step 6: Final answer
    x = 213,989,397.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.