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Finding the Third Proportional to 98,002,768.22 and 213,288,433.03

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Solution

The third proportional to 98,002,768.22 and 213,288,433.03 is: 464,190,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,002,768.22 : 213,288,433.03 = 213,288,433.03 : x
  2. Step 2: Convert to fraction form
    98,002,768.22/213,288,433.03 = 213,288,433.03/x
  3. Step 3: Cross multiply
    98,002,768.22x = 213,288,433.03 × 213,288,433.03
  4. Step 4: Simplify right side
    98,002,768.22x = 45,491,955,664,926,016
  5. Step 5: Solve for x
    x = 45,491,955,664,926,016/98,002,768.22
  6. Step 6: Final answer
    x = 464,190,517.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.