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Finding the Third Proportional to 51,841.69 and 109,216.69

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Solution

The third proportional to 51,841.69 and 109,216.69 is: 230,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,841.69 : 109,216.69 = 109,216.69 : x
  2. Step 2: Convert to fraction form
    51,841.69/109,216.69 = 109,216.69/x
  3. Step 3: Cross multiply
    51,841.69x = 109,216.69 × 109,216.69
  4. Step 4: Simplify right side
    51,841.69x = 11,928,284,828.47
  5. Step 5: Solve for x
    x = 11,928,284,828.47/51,841.69
  6. Step 6: Final answer
    x = 230,090.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.