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Finding the Third Proportional to 51,516.19 and 109,836.56

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Solution

The third proportional to 51,516.19 and 109,836.56 is: 234,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516.19 : 109,836.56 = 109,836.56 : x
  2. Step 2: Convert to fraction form
    51,516.19/109,836.56 = 109,836.56/x
  3. Step 3: Cross multiply
    51,516.19x = 109,836.56 × 109,836.56
  4. Step 4: Simplify right side
    51,516.19x = 12,064,070,461.82
  5. Step 5: Solve for x
    x = 12,064,070,461.82/51,516.19
  6. Step 6: Final answer
    x = 234,180.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.