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Finding the Third Proportional to 233,485,231.50 and 343,201,198.50

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Solution

The third proportional to 233,485,231.50 and 343,201,198.50 is: 504,473,288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,485,231.50 : 343,201,198.50 = 343,201,198.50 : x
  2. Step 2: Convert to fraction form
    233,485,231.50/343,201,198.50 = 343,201,198.50/x
  3. Step 3: Cross multiply
    233,485,231.50x = 343,201,198.50 × 343,201,198.50
  4. Step 4: Simplify right side
    233,485,231.50x = 117,787,062,651,836,400
  5. Step 5: Solve for x
    x = 117,787,062,651,836,400/233,485,231.50
  6. Step 6: Final answer
    x = 504,473,288.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.