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Finding the Third Proportional to 173,104,296 and 269,582,580

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Solution

The third proportional to 173,104,296 and 269,582,580 is: 419,832,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,104,296 : 269,582,580 = 269,582,580 : x
  2. Step 2: Convert to fraction form
    173,104,296/269,582,580 = 269,582,580/x
  3. Step 3: Cross multiply
    173,104,296x = 269,582,580 × 269,582,580
  4. Step 4: Simplify right side
    173,104,296x = 72,674,767,439,456,400
  5. Step 5: Solve for x
    x = 72,674,767,439,456,400/173,104,296
  6. Step 6: Final answer
    x = 419,832,257.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.