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Finding the Third Proportional to 51,826.69 and 108,875.34

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Solution

The third proportional to 51,826.69 and 108,875.34 is: 228,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,826.69 : 108,875.34 = 108,875.34 : x
  2. Step 2: Convert to fraction form
    51,826.69/108,875.34 = 108,875.34/x
  3. Step 3: Cross multiply
    51,826.69x = 108,875.34 × 108,875.34
  4. Step 4: Simplify right side
    51,826.69x = 11,853,840,476.68
  5. Step 5: Solve for x
    x = 11,853,840,476.68/51,826.69
  6. Step 6: Final answer
    x = 228,720.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.