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Finding the Third Proportional to 30,319.69 and 65,199.56

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Solution

The third proportional to 30,319.69 and 65,199.56 is: 140,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319.69 : 65,199.56 = 65,199.56 : x
  2. Step 2: Convert to fraction form
    30,319.69/65,199.56 = 65,199.56/x
  3. Step 3: Cross multiply
    30,319.69x = 65,199.56 × 65,199.56
  4. Step 4: Simplify right side
    30,319.69x = 4,250,982,950.19
  5. Step 5: Solve for x
    x = 4,250,982,950.19/30,319.69
  6. Step 6: Final answer
    x = 140,205.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.