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Finding the Third Proportional to 118,452.38 and 188,294.63

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Solution

The third proportional to 118,452.38 and 188,294.63 is: 299,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,452.38 : 188,294.63 = 188,294.63 : x
  2. Step 2: Convert to fraction form
    118,452.38/188,294.63 = 188,294.63/x
  3. Step 3: Cross multiply
    118,452.38x = 188,294.63 × 188,294.63
  4. Step 4: Simplify right side
    118,452.38x = 35,454,865,803.89
  5. Step 5: Solve for x
    x = 35,454,865,803.89/118,452.38
  6. Step 6: Final answer
    x = 299,317.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.