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Finding the Third Proportional to 108,364.50 and 231,751.50

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Solution

The third proportional to 108,364.50 and 231,751.50 is: 495,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,364.50 : 231,751.50 = 231,751.50 : x
  2. Step 2: Convert to fraction form
    108,364.50/231,751.50 = 231,751.50/x
  3. Step 3: Cross multiply
    108,364.50x = 231,751.50 × 231,751.50
  4. Step 4: Simplify right side
    108,364.50x = 53,708,757,752.25
  5. Step 5: Solve for x
    x = 53,708,757,752.25/108,364.50
  6. Step 6: Final answer
    x = 495,630.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.