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Finding the Third Proportional to 113,676.06 and 189,450.30

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Solution

The third proportional to 113,676.06 and 189,450.30 is: 315,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676.06 : 189,450.30 = 189,450.30 : x
  2. Step 2: Convert to fraction form
    113,676.06/189,450.30 = 189,450.30/x
  3. Step 3: Cross multiply
    113,676.06x = 189,450.30 × 189,450.30
  4. Step 4: Simplify right side
    113,676.06x = 35,891,415,726.06
  5. Step 5: Solve for x
    x = 35,891,415,726.06/113,676.06
  6. Step 6: Final answer
    x = 315,734.15

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.