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Finding the Third Proportional to 235,908,821 and 513,235,530

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Solution

The third proportional to 235,908,821 and 513,235,530 is: 1,116,578,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,908,821 : 513,235,530 = 513,235,530 : x
  2. Step 2: Convert to fraction form
    235,908,821/513,235,530 = 513,235,530/x
  3. Step 3: Cross multiply
    235,908,821x = 513,235,530 × 513,235,530
  4. Step 4: Simplify right side
    235,908,821x = 263,410,709,254,380,896
  5. Step 5: Solve for x
    x = 263,410,709,254,380,896/235,908,821
  6. Step 6: Final answer
    x = 1,116,578,465.09

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