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Finding the Third Proportional to 196,263 and 416,076.75

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Solution

The third proportional to 196,263 and 416,076.75 is: 882,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,263 : 416,076.75 = 416,076.75 : x
  2. Step 2: Convert to fraction form
    196,263/416,076.75 = 416,076.75/x
  3. Step 3: Cross multiply
    196,263x = 416,076.75 × 416,076.75
  4. Step 4: Simplify right side
    196,263x = 173,119,861,890.56
  5. Step 5: Solve for x
    x = 173,119,861,890.56/196,263
  6. Step 6: Final answer
    x = 882,080.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.