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Finding the Third Proportional to 47,749,210 and 102,305,436

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Solution

The third proportional to 47,749,210 and 102,305,436 is: 219,195,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749,210 : 102,305,436 = 102,305,436 : x
  2. Step 2: Convert to fraction form
    47,749,210/102,305,436 = 102,305,436/x
  3. Step 3: Cross multiply
    47,749,210x = 102,305,436 × 102,305,436
  4. Step 4: Simplify right side
    47,749,210x = 10,466,402,235,150,096
  5. Step 5: Solve for x
    x = 10,466,402,235,150,096/47,749,210
  6. Step 6: Final answer
    x = 219,195,296.32

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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.