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Finding the Third Proportional to 230,991,183 and 513,628,350.75

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Solution

The third proportional to 230,991,183 and 513,628,350.75 is: 1,142,095,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991,183 : 513,628,350.75 = 513,628,350.75 : x
  2. Step 2: Convert to fraction form
    230,991,183/513,628,350.75 = 513,628,350.75/x
  3. Step 3: Cross multiply
    230,991,183x = 513,628,350.75 × 513,628,350.75
  4. Step 4: Simplify right side
    230,991,183x = 263,814,082,694,165,024
  5. Step 5: Solve for x
    x = 263,814,082,694,165,024/230,991,183
  6. Step 6: Final answer
    x = 1,142,095,898.50

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.