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Finding the Third Proportional to 201,625,819.52 and 311,392,956.87

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Solution

The third proportional to 201,625,819.52 and 311,392,956.87 is: 480,918,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,625,819.52 : 311,392,956.87 = 311,392,956.87 : x
  2. Step 2: Convert to fraction form
    201,625,819.52/311,392,956.87 = 311,392,956.87/x
  3. Step 3: Cross multiply
    201,625,819.52x = 311,392,956.87 × 311,392,956.87
  4. Step 4: Simplify right side
    201,625,819.52x = 96,965,573,586,497,888
  5. Step 5: Solve for x
    x = 96,965,573,586,497,888/201,625,819.52
  6. Step 6: Final answer
    x = 480,918,435.03

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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.