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Finding the Third Proportional to 89,511.75 and 193,034.25

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Solution

The third proportional to 89,511.75 and 193,034.25 is: 416,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,511.75 : 193,034.25 = 193,034.25 : x
  2. Step 2: Convert to fraction form
    89,511.75/193,034.25 = 193,034.25/x
  3. Step 3: Cross multiply
    89,511.75x = 193,034.25 × 193,034.25
  4. Step 4: Simplify right side
    89,511.75x = 37,262,221,673.06
  5. Step 5: Solve for x
    x = 37,262,221,673.06/89,511.75
  6. Step 6: Final answer
    x = 416,283.02

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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.