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Finding the Third Proportional to 41,177.74 and 89,907.47

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Solution

The third proportional to 41,177.74 and 89,907.47 is: 196,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,177.74 : 89,907.47 = 89,907.47 : x
  2. Step 2: Convert to fraction form
    41,177.74/89,907.47 = 89,907.47/x
  3. Step 3: Cross multiply
    41,177.74x = 89,907.47 × 89,907.47
  4. Step 4: Simplify right side
    41,177.74x = 8,083,352,937.03
  5. Step 5: Solve for x
    x = 8,083,352,937.03/41,177.74
  6. Step 6: Final answer
    x = 196,303.94

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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.