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Finding the Third Proportional to 129,868.69 and 194,280.38

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Solution

The third proportional to 129,868.69 and 194,280.38 is: 290,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,868.69 : 194,280.38 = 194,280.38 : x
  2. Step 2: Convert to fraction form
    129,868.69/194,280.38 = 194,280.38/x
  3. Step 3: Cross multiply
    129,868.69x = 194,280.38 × 194,280.38
  4. Step 4: Simplify right side
    129,868.69x = 37,744,864,110.14
  5. Step 5: Solve for x
    x = 37,744,864,110.14/129,868.69
  6. Step 6: Final answer
    x = 290,638.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.