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Finding the Third Proportional to 146,236,444.50 and 317,646,393

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Solution

The third proportional to 146,236,444.50 and 317,646,393 is: 689,973,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,236,444.50 : 317,646,393 = 317,646,393 : x
  2. Step 2: Convert to fraction form
    146,236,444.50/317,646,393 = 317,646,393/x
  3. Step 3: Cross multiply
    146,236,444.50x = 317,646,393 × 317,646,393
  4. Step 4: Simplify right side
    146,236,444.50x = 100,899,230,985,910,448
  5. Step 5: Solve for x
    x = 100,899,230,985,910,448/146,236,444.50
  6. Step 6: Final answer
    x = 689,973,223.37

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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.