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Finding the Third Proportional to 108,516.38 and 238,043.25

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Solution

The third proportional to 108,516.38 and 238,043.25 is: 522,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,516.38 : 238,043.25 = 238,043.25 : x
  2. Step 2: Convert to fraction form
    108,516.38/238,043.25 = 238,043.25/x
  3. Step 3: Cross multiply
    108,516.38x = 238,043.25 × 238,043.25
  4. Step 4: Simplify right side
    108,516.38x = 56,664,588,870.56
  5. Step 5: Solve for x
    x = 56,664,588,870.56/108,516.38
  6. Step 6: Final answer
    x = 522,175.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.