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Finding the Third Proportional to 51,166.69 and 104,884.88

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Solution

The third proportional to 51,166.69 and 104,884.88 is: 214,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166.69 : 104,884.88 = 104,884.88 : x
  2. Step 2: Convert to fraction form
    51,166.69/104,884.88 = 104,884.88/x
  3. Step 3: Cross multiply
    51,166.69x = 104,884.88 × 104,884.88
  4. Step 4: Simplify right side
    51,166.69x = 11,000,837,003.77
  5. Step 5: Solve for x
    x = 11,000,837,003.77/51,166.69
  6. Step 6: Final answer
    x = 214,999.98

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.