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Finding the Third Proportional to 238,150,341 and 512,786,403

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Solution

The third proportional to 238,150,341 and 512,786,403 is: 1,104,134,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,150,341 : 512,786,403 = 512,786,403 : x
  2. Step 2: Convert to fraction form
    238,150,341/512,786,403 = 512,786,403/x
  3. Step 3: Cross multiply
    238,150,341x = 512,786,403 × 512,786,403
  4. Step 4: Simplify right side
    238,150,341x = 262,949,895,101,678,400
  5. Step 5: Solve for x
    x = 262,949,895,101,678,400/238,150,341
  6. Step 6: Final answer
    x = 1,104,134,027.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.