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Finding the Third Proportional to 201,625,821.56 and 311,392,960.03

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Solution

The third proportional to 201,625,821.56 and 311,392,960.03 is: 480,918,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625,821.56 : 311,392,960.03 = 311,392,960.03 : x
  2. Step 2: Convert to fraction form
    201,625,821.56/311,392,960.03 = 311,392,960.03/x
  3. Step 3: Cross multiply
    201,625,821.56x = 311,392,960.03 × 311,392,960.03
  4. Step 4: Simplify right side
    201,625,821.56x = 96,965,575,557,023,664
  5. Step 5: Solve for x
    x = 96,965,575,557,023,664/201,625,821.56
  6. Step 6: Final answer
    x = 480,918,439.94

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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.