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Finding the Third Proportional to 41,454.19 and 88,822.88

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Solution

The third proportional to 41,454.19 and 88,822.88 is: 190,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454.19 : 88,822.88 = 88,822.88 : x
  2. Step 2: Convert to fraction form
    41,454.19/88,822.88 = 88,822.88/x
  3. Step 3: Cross multiply
    41,454.19x = 88,822.88 × 88,822.88
  4. Step 4: Simplify right side
    41,454.19x = 7,889,503,123.27
  5. Step 5: Solve for x
    x = 7,889,503,123.27/41,454.19
  6. Step 6: Final answer
    x = 190,318.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.