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Finding the Third Proportional to 41,785.88 and 98,546.63

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Solution

The third proportional to 41,785.88 and 98,546.63 is: 232,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,785.88 : 98,546.63 = 98,546.63 : x
  2. Step 2: Convert to fraction form
    41,785.88/98,546.63 = 98,546.63/x
  3. Step 3: Cross multiply
    41,785.88x = 98,546.63 × 98,546.63
  4. Step 4: Simplify right side
    41,785.88x = 9,711,437,298.89
  5. Step 5: Solve for x
    x = 9,711,437,298.89/41,785.88
  6. Step 6: Final answer
    x = 232,409.57

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.