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Finding the Third Proportional to 89,898 and 193,806.75

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Solution

The third proportional to 89,898 and 193,806.75 is: 417,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,898 : 193,806.75 = 193,806.75 : x
  2. Step 2: Convert to fraction form
    89,898/193,806.75 = 193,806.75/x
  3. Step 3: Cross multiply
    89,898x = 193,806.75 × 193,806.75
  4. Step 4: Simplify right side
    89,898x = 37,561,056,345.56
  5. Step 5: Solve for x
    x = 37,561,056,345.56/89,898
  6. Step 6: Final answer
    x = 417,818.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.