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Finding the Third Proportional to 272,383,976 and 382,208,688

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Solution

The third proportional to 272,383,976 and 382,208,688 is: 536,314,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,383,976 : 382,208,688 = 382,208,688 : x
  2. Step 2: Convert to fraction form
    272,383,976/382,208,688 = 382,208,688/x
  3. Step 3: Cross multiply
    272,383,976x = 382,208,688 × 382,208,688
  4. Step 4: Simplify right side
    272,383,976x = 146,083,481,182,681,344
  5. Step 5: Solve for x
    x = 146,083,481,182,681,344/272,383,976
  6. Step 6: Final answer
    x = 536,314,519.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.