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Finding the Third Proportional to 47,394,944 and 98,150,656

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Solution

The third proportional to 47,394,944 and 98,150,656 is: 203,261,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,394,944 : 98,150,656 = 98,150,656 : x
  2. Step 2: Convert to fraction form
    47,394,944/98,150,656 = 98,150,656/x
  3. Step 3: Cross multiply
    47,394,944x = 98,150,656 × 98,150,656
  4. Step 4: Simplify right side
    47,394,944x = 9,633,551,273,230,336
  5. Step 5: Solve for x
    x = 9,633,551,273,230,336/47,394,944
  6. Step 6: Final answer
    x = 203,261,159.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.