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Finding the Third Proportional to 45,084.38 and 96,422.63

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Solution

The third proportional to 45,084.38 and 96,422.63 is: 206,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,084.38 : 96,422.63 = 96,422.63 : x
  2. Step 2: Convert to fraction form
    45,084.38/96,422.63 = 96,422.63/x
  3. Step 3: Cross multiply
    45,084.38x = 96,422.63 × 96,422.63
  4. Step 4: Simplify right side
    45,084.38x = 9,297,322,611.89
  5. Step 5: Solve for x
    x = 9,297,322,611.89/45,084.38
  6. Step 6: Final answer
    x = 206,220.51

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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.