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Finding the Third Proportional to 47,850,966 and 104,965,983

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Solution

The third proportional to 47,850,966 and 104,965,983 is: 230,253,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850,966 : 104,965,983 = 104,965,983 : x
  2. Step 2: Convert to fraction form
    47,850,966/104,965,983 = 104,965,983/x
  3. Step 3: Cross multiply
    47,850,966x = 104,965,983 × 104,965,983
  4. Step 4: Simplify right side
    47,850,966x = 11,017,857,587,156,288
  5. Step 5: Solve for x
    x = 11,017,857,587,156,288/47,850,966
  6. Step 6: Final answer
    x = 230,253,608.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.