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Finding the Third Proportional to 201,625,832 and 311,392,977

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Solution

The third proportional to 201,625,832 and 311,392,977 is: 480,918,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625,832 : 311,392,977 = 311,392,977 : x
  2. Step 2: Convert to fraction form
    201,625,832/311,392,977 = 311,392,977/x
  3. Step 3: Cross multiply
    201,625,832x = 311,392,977 × 311,392,977
  4. Step 4: Simplify right side
    201,625,832x = 96,965,586,124,922,528
  5. Step 5: Solve for x
    x = 96,965,586,124,922,528/201,625,832
  6. Step 6: Final answer
    x = 480,918,467.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.