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Finding the Third Proportional to 47,749,217 and 102,305,450

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Solution

The third proportional to 47,749,217 and 102,305,450 is: 219,195,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749,217 : 102,305,450 = 102,305,450 : x
  2. Step 2: Convert to fraction form
    47,749,217/102,305,450 = 102,305,450/x
  3. Step 3: Cross multiply
    47,749,217x = 102,305,450 × 102,305,450
  4. Step 4: Simplify right side
    47,749,217x = 10,466,405,099,702,500
  5. Step 5: Solve for x
    x = 10,466,405,099,702,500/47,749,217
  6. Step 6: Final answer
    x = 219,195,324.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.