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Finding the Third Proportional to 173,104,326 and 269,582,625

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Solution

The third proportional to 173,104,326 and 269,582,625 is: 419,832,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,104,326 : 269,582,625 = 269,582,625 : x
  2. Step 2: Convert to fraction form
    173,104,326/269,582,625 = 269,582,625/x
  3. Step 3: Cross multiply
    173,104,326x = 269,582,625 × 269,582,625
  4. Step 4: Simplify right side
    173,104,326x = 72,674,791,701,890,624
  5. Step 5: Solve for x
    x = 72,674,791,701,890,624/173,104,326
  6. Step 6: Final answer
    x = 419,832,325.29

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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.