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Finding the Third Proportional to 129,344.06 and 193,219.59

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Solution

The third proportional to 129,344.06 and 193,219.59 is: 288,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,344.06 : 193,219.59 = 193,219.59 : x
  2. Step 2: Convert to fraction form
    129,344.06/193,219.59 = 193,219.59/x
  3. Step 3: Cross multiply
    129,344.06x = 193,219.59 × 193,219.59
  4. Step 4: Simplify right side
    129,344.06x = 37,333,811,408.92
  5. Step 5: Solve for x
    x = 37,333,811,408.92/129,344.06
  6. Step 6: Final answer
    x = 288,639.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.