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Finding the Third Proportional to 51,060.38 and 117,196.88

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Solution

The third proportional to 51,060.38 and 117,196.88 is: 268,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,060.38 : 117,196.88 = 117,196.88 : x
  2. Step 2: Convert to fraction form
    51,060.38/117,196.88 = 117,196.88/x
  3. Step 3: Cross multiply
    51,060.38x = 117,196.88 × 117,196.88
  4. Step 4: Simplify right side
    51,060.38x = 13,735,107,509.77
  5. Step 5: Solve for x
    x = 13,735,107,509.77/51,060.38
  6. Step 6: Final answer
    x = 268,997.39

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.