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Finding the Third Proportional to 52,778.25 and 109,910.25

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Solution

The third proportional to 52,778.25 and 109,910.25 is: 228,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,778.25 : 109,910.25 = 109,910.25 : x
  2. Step 2: Convert to fraction form
    52,778.25/109,910.25 = 109,910.25/x
  3. Step 3: Cross multiply
    52,778.25x = 109,910.25 × 109,910.25
  4. Step 4: Simplify right side
    52,778.25x = 12,080,263,055.06
  5. Step 5: Solve for x
    x = 12,080,263,055.06/52,778.25
  6. Step 6: Final answer
    x = 228,887.15

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.