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Finding the Third Proportional to 44,081.72 and 96,364.69

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Solution

The third proportional to 44,081.72 and 96,364.69 is: 210,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,081.72 : 96,364.69 = 96,364.69 : x
  2. Step 2: Convert to fraction form
    44,081.72/96,364.69 = 96,364.69/x
  3. Step 3: Cross multiply
    44,081.72x = 96,364.69 × 96,364.69
  4. Step 4: Simplify right side
    44,081.72x = 9,286,152,996.97
  5. Step 5: Solve for x
    x = 9,286,152,996.97/44,081.72
  6. Step 6: Final answer
    x = 210,657.69

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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.