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Finding the Third Proportional to 47,764.69 and 101,218.78

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Solution

The third proportional to 47,764.69 and 101,218.78 is: 214,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.69 : 101,218.78 = 101,218.78 : x
  2. Step 2: Convert to fraction form
    47,764.69/101,218.78 = 101,218.78/x
  3. Step 3: Cross multiply
    47,764.69x = 101,218.78 × 101,218.78
  4. Step 4: Simplify right side
    47,764.69x = 10,245,241,677.74
  5. Step 5: Solve for x
    x = 10,245,241,677.74/47,764.69
  6. Step 6: Final answer
    x = 214,494.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.