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Finding the Third Proportional to 52,660.97 and 109,695.09

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Solution

The third proportional to 52,660.97 and 109,695.09 is: 228,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,660.97 : 109,695.09 = 109,695.09 : x
  2. Step 2: Convert to fraction form
    52,660.97/109,695.09 = 109,695.09/x
  3. Step 3: Cross multiply
    52,660.97x = 109,695.09 × 109,695.09
  4. Step 4: Simplify right side
    52,660.97x = 12,033,013,592.82
  5. Step 5: Solve for x
    x = 12,033,013,592.82/52,660.97
  6. Step 6: Final answer
    x = 228,499.66

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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.