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Finding the Third Proportional to 98,320.50 and 213,286.50

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Solution

The third proportional to 98,320.50 and 213,286.50 is: 462,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,320.50 : 213,286.50 = 213,286.50 : x
  2. Step 2: Convert to fraction form
    98,320.50/213,286.50 = 213,286.50/x
  3. Step 3: Cross multiply
    98,320.50x = 213,286.50 × 213,286.50
  4. Step 4: Simplify right side
    98,320.50x = 45,491,131,082.25
  5. Step 5: Solve for x
    x = 45,491,131,082.25/98,320.50
  6. Step 6: Final answer
    x = 462,682.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.