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Finding the Third Proportional to 42,438.38 and 89,524.13

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Solution

The third proportional to 42,438.38 and 89,524.13 is: 188,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,438.38 : 89,524.13 = 89,524.13 : x
  2. Step 2: Convert to fraction form
    42,438.38/89,524.13 = 89,524.13/x
  3. Step 3: Cross multiply
    42,438.38x = 89,524.13 × 89,524.13
  4. Step 4: Simplify right side
    42,438.38x = 8,014,568,957.02
  5. Step 5: Solve for x
    x = 8,014,568,957.02/42,438.38
  6. Step 6: Final answer
    x = 188,851.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.