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Finding the Third Proportional to 41,669.50 and 89,900

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Solution

The third proportional to 41,669.50 and 89,900 is: 193,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,669.50 : 89,900 = 89,900 : x
  2. Step 2: Convert to fraction form
    41,669.50/89,900 = 89,900/x
  3. Step 3: Cross multiply
    41,669.50x = 89,900 × 89,900
  4. Step 4: Simplify right side
    41,669.50x = 8,082,010,000
  5. Step 5: Solve for x
    x = 8,082,010,000/41,669.50
  6. Step 6: Final answer
    x = 193,955.05

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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.