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Finding the Third Proportional to 169,173,622 and 269,188,484

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Solution

The third proportional to 169,173,622 and 269,188,484 is: 428,331,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,173,622 : 269,188,484 = 269,188,484 : x
  2. Step 2: Convert to fraction form
    169,173,622/269,188,484 = 269,188,484/x
  3. Step 3: Cross multiply
    169,173,622x = 269,188,484 × 269,188,484
  4. Step 4: Simplify right side
    169,173,622x = 72,462,439,918,218,256
  5. Step 5: Solve for x
    x = 72,462,439,918,218,256/169,173,622
  6. Step 6: Final answer
    x = 428,331,787.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.