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Finding the Third Proportional to 47,064.50 and 91,764.25

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Solution

The third proportional to 47,064.50 and 91,764.25 is: 178,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,064.50 : 91,764.25 = 91,764.25 : x
  2. Step 2: Convert to fraction form
    47,064.50/91,764.25 = 91,764.25/x
  3. Step 3: Cross multiply
    47,064.50x = 91,764.25 × 91,764.25
  4. Step 4: Simplify right side
    47,064.50x = 8,420,677,578.06
  5. Step 5: Solve for x
    x = 8,420,677,578.06/47,064.50
  6. Step 6: Final answer
    x = 178,917.82

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.