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Finding the Third Proportional to 47,751,180.75 and 102,310,219.13

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Solution

The third proportional to 47,751,180.75 and 102,310,219.13 is: 219,206,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,180.75 : 102,310,219.13 = 102,310,219.13 : x
  2. Step 2: Convert to fraction form
    47,751,180.75/102,310,219.13 = 102,310,219.13/x
  3. Step 3: Cross multiply
    47,751,180.75x = 102,310,219.13 × 102,310,219.13
  4. Step 4: Simplify right side
    47,751,180.75x = 10,467,380,937,405,516
  5. Step 5: Solve for x
    x = 10,467,380,937,405,516/47,751,180.75
  6. Step 6: Final answer
    x = 219,206,745.74

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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.