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Finding the Third Proportional to 201,625,617 and 311,392,653

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Solution

The third proportional to 201,625,617 and 311,392,653 is: 480,917,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625,617 : 311,392,653 = 311,392,653 : x
  2. Step 2: Convert to fraction form
    201,625,617/311,392,653 = 311,392,653/x
  3. Step 3: Cross multiply
    201,625,617x = 311,392,653 × 311,392,653
  4. Step 4: Simplify right side
    201,625,617x = 96,965,384,342,378,416
  5. Step 5: Solve for x
    x = 96,965,384,342,378,416/201,625,617
  6. Step 6: Final answer
    x = 480,917,979.50

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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.