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Finding the Third Proportional to 41,455.50 and 90,687

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Solution

The third proportional to 41,455.50 and 90,687 is: 198,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,455.50 : 90,687 = 90,687 : x
  2. Step 2: Convert to fraction form
    41,455.50/90,687 = 90,687/x
  3. Step 3: Cross multiply
    41,455.50x = 90,687 × 90,687
  4. Step 4: Simplify right side
    41,455.50x = 8,224,131,969
  5. Step 5: Solve for x
    x = 8,224,131,969/41,455.50
  6. Step 6: Final answer
    x = 198,384.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.