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Finding the Third Proportional to 108,937.69 and 148,516.31

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Solution

The third proportional to 108,937.69 and 148,516.31 is: 202,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,937.69 : 148,516.31 = 148,516.31 : x
  2. Step 2: Convert to fraction form
    108,937.69/148,516.31 = 148,516.31/x
  3. Step 3: Cross multiply
    108,937.69x = 148,516.31 × 148,516.31
  4. Step 4: Simplify right side
    108,937.69x = 22,057,095,078.60
  5. Step 5: Solve for x
    x = 22,057,095,078.60/108,937.69
  6. Step 6: Final answer
    x = 202,474.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.