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Finding the Third Proportional to 41,897.25 and 91,325.81

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Solution

The third proportional to 41,897.25 and 91,325.81 is: 199,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,897.25 : 91,325.81 = 91,325.81 : x
  2. Step 2: Convert to fraction form
    41,897.25/91,325.81 = 91,325.81/x
  3. Step 3: Cross multiply
    41,897.25x = 91,325.81 × 91,325.81
  4. Step 4: Simplify right side
    41,897.25x = 8,340,404,028.79
  5. Step 5: Solve for x
    x = 8,340,404,028.79/41,897.25
  6. Step 6: Final answer
    x = 199,068.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.