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Finding the Third Proportional to 47,749,216 and 102,305,448

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Solution

The third proportional to 47,749,216 and 102,305,448 is: 219,195,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749,216 : 102,305,448 = 102,305,448 : x
  2. Step 2: Convert to fraction form
    47,749,216/102,305,448 = 102,305,448/x
  3. Step 3: Cross multiply
    47,749,216x = 102,305,448 × 102,305,448
  4. Step 4: Simplify right side
    47,749,216x = 10,466,404,690,480,704
  5. Step 5: Solve for x
    x = 10,466,404,690,480,704/47,749,216
  6. Step 6: Final answer
    x = 219,195,320.20

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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.