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Finding the Third Proportional to 41,000.63 and 89,109

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Solution

The third proportional to 41,000.63 and 89,109 is: 193,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,000.63 : 89,109 = 89,109 : x
  2. Step 2: Convert to fraction form
    41,000.63/89,109 = 89,109/x
  3. Step 3: Cross multiply
    41,000.63x = 89,109 × 89,109
  4. Step 4: Simplify right side
    41,000.63x = 7,940,413,881
  5. Step 5: Solve for x
    x = 7,940,413,881/41,000.63
  6. Step 6: Final answer
    x = 193,665.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.