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Finding the Third Proportional to 90,478.27 and 178,685.79

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Solution

The third proportional to 90,478.27 and 178,685.79 is: 352,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,478.27 : 178,685.79 = 178,685.79 : x
  2. Step 2: Convert to fraction form
    90,478.27/178,685.79 = 178,685.79/x
  3. Step 3: Cross multiply
    90,478.27x = 178,685.79 × 178,685.79
  4. Step 4: Simplify right side
    90,478.27x = 31,928,611,212.89
  5. Step 5: Solve for x
    x = 31,928,611,212.89/90,478.27
  6. Step 6: Final answer
    x = 352,887.08

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.