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Finding the Third Proportional to 108,469.13 and 235,391.06

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Solution

The third proportional to 108,469.13 and 235,391.06 is: 510,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,469.13 : 235,391.06 = 235,391.06 : x
  2. Step 2: Convert to fraction form
    108,469.13/235,391.06 = 235,391.06/x
  3. Step 3: Cross multiply
    108,469.13x = 235,391.06 × 235,391.06
  4. Step 4: Simplify right side
    108,469.13x = 55,408,952,304.88
  5. Step 5: Solve for x
    x = 55,408,952,304.88/108,469.13
  6. Step 6: Final answer
    x = 510,826.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.