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Finding the Third Proportional to 89,647.63 and 193,126.63

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Solution

The third proportional to 89,647.63 and 193,126.63 is: 416,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,647.63 : 193,126.63 = 193,126.63 : x
  2. Step 2: Convert to fraction form
    89,647.63/193,126.63 = 193,126.63/x
  3. Step 3: Cross multiply
    89,647.63x = 193,126.63 × 193,126.63
  4. Step 4: Simplify right side
    89,647.63x = 37,297,893,283.89
  5. Step 5: Solve for x
    x = 37,297,893,283.89/89,647.63
  6. Step 6: Final answer
    x = 416,049.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.