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Finding the Third Proportional to 41,448.38 and 89,407.13

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Solution

The third proportional to 41,448.38 and 89,407.13 is: 192,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,448.38 : 89,407.13 = 89,407.13 : x
  2. Step 2: Convert to fraction form
    41,448.38/89,407.13 = 89,407.13/x
  3. Step 3: Cross multiply
    41,448.38x = 89,407.13 × 89,407.13
  4. Step 4: Simplify right side
    41,448.38x = 7,993,634,000.77
  5. Step 5: Solve for x
    x = 7,993,634,000.77/41,448.38
  6. Step 6: Final answer
    x = 192,857.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.