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Finding the Third Proportional to 146,236,448 and 317,646,399

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Solution

The third proportional to 146,236,448 and 317,646,399 is: 689,973,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,236,448 : 317,646,399 = 317,646,399 : x
  2. Step 2: Convert to fraction form
    146,236,448/317,646,399 = 317,646,399/x
  3. Step 3: Cross multiply
    146,236,448x = 317,646,399 × 317,646,399
  4. Step 4: Simplify right side
    146,236,448x = 100,899,234,797,667,200
  5. Step 5: Solve for x
    x = 100,899,234,797,667,200/146,236,448
  6. Step 6: Final answer
    x = 689,973,232.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.