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Finding the Third Proportional to 201,625,822.25 and 311,392,960.75

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Solution

The third proportional to 201,625,822.25 and 311,392,960.75 is: 480,918,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625,822.25 : 311,392,960.75 = 311,392,960.75 : x
  2. Step 2: Convert to fraction form
    201,625,822.25/311,392,960.75 = 311,392,960.75/x
  3. Step 3: Cross multiply
    201,625,822.25x = 311,392,960.75 × 311,392,960.75
  4. Step 4: Simplify right side
    201,625,822.25x = 96,965,576,004,651,040
  5. Step 5: Solve for x
    x = 96,965,576,004,651,040/201,625,822.25
  6. Step 6: Final answer
    x = 480,918,440.52

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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.