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Finding the Third Proportional to 41,668.50 and 89,898

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Solution

The third proportional to 41,668.50 and 89,898 is: 193,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,668.50 : 89,898 = 89,898 : x
  2. Step 2: Convert to fraction form
    41,668.50/89,898 = 89,898/x
  3. Step 3: Cross multiply
    41,668.50x = 89,898 × 89,898
  4. Step 4: Simplify right side
    41,668.50x = 8,081,650,404
  5. Step 5: Solve for x
    x = 8,081,650,404/41,668.50
  6. Step 6: Final answer
    x = 193,951.08

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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.