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Finding the Third Proportional to 122,096,574,384 and 184,305,660,360

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Solution

The third proportional to 122,096,574,384 and 184,305,660,360 is: 278,210,724,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,096,574,384 : 184,305,660,360 = 184,305,660,360 : x
  2. Step 2: Convert to fraction form
    122,096,574,384/184,305,660,360 = 184,305,660,360/x
  3. Step 3: Cross multiply
    122,096,574,384x = 184,305,660,360 × 184,305,660,360
  4. Step 4: Simplify right side
    122,096,574,384x = 33,968,576,440,735,675,449,344
  5. Step 5: Solve for x
    x = 33,968,576,440,735,675,449,344/122,096,574,384
  6. Step 6: Final answer
    x = 278,210,724,683.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.