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Finding the Third Proportional to 136,765.13 and 219,745.13

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Solution

The third proportional to 136,765.13 and 219,745.13 is: 353,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,765.13 : 219,745.13 = 219,745.13 : x
  2. Step 2: Convert to fraction form
    136,765.13/219,745.13 = 219,745.13/x
  3. Step 3: Cross multiply
    136,765.13x = 219,745.13 × 219,745.13
  4. Step 4: Simplify right side
    136,765.13x = 48,287,919,961.27
  5. Step 5: Solve for x
    x = 48,287,919,961.27/136,765.13
  6. Step 6: Final answer
    x = 353,071.88

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.