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Finding the Third Proportional to 201,625,822 and 311,392,961

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Solution

The third proportional to 201,625,822 and 311,392,961 is: 480,918,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625,822 : 311,392,961 = 311,392,961 : x
  2. Step 2: Convert to fraction form
    201,625,822/311,392,961 = 311,392,961/x
  3. Step 3: Cross multiply
    201,625,822x = 311,392,961 × 311,392,961
  4. Step 4: Simplify right side
    201,625,822x = 96,965,576,160,347,520
  5. Step 5: Solve for x
    x = 96,965,576,160,347,520/201,625,822
  6. Step 6: Final answer
    x = 480,918,441.89

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Why These Related Problems?

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