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Finding the Third Proportional to 47,751,140.25 and 102,310,138.13

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Solution

The third proportional to 47,751,140.25 and 102,310,138.13 is: 219,206,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,140.25 : 102,310,138.13 = 102,310,138.13 : x
  2. Step 2: Convert to fraction form
    47,751,140.25/102,310,138.13 = 102,310,138.13/x
  3. Step 3: Cross multiply
    47,751,140.25x = 102,310,138.13 × 102,310,138.13
  4. Step 4: Simplify right side
    47,751,140.25x = 10,467,364,363,156,578
  5. Step 5: Solve for x
    x = 10,467,364,363,156,578/47,751,140.25
  6. Step 6: Final answer
    x = 219,206,584.56

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