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Finding the Third Proportional to 47,755.69 and 102,558.38

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Solution

The third proportional to 47,755.69 and 102,558.38 is: 220,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.69 : 102,558.38 = 102,558.38 : x
  2. Step 2: Convert to fraction form
    47,755.69/102,558.38 = 102,558.38/x
  3. Step 3: Cross multiply
    47,755.69x = 102,558.38 × 102,558.38
  4. Step 4: Simplify right side
    47,755.69x = 10,518,220,282.64
  5. Step 5: Solve for x
    x = 10,518,220,282.64/47,755.69
  6. Step 6: Final answer
    x = 220,250.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.