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Finding the Third Proportional to 110,584,064 and 239,569,270

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Solution

The third proportional to 110,584,064 and 239,569,270 is: 519,002,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,584,064 : 239,569,270 = 239,569,270 : x
  2. Step 2: Convert to fraction form
    110,584,064/239,569,270 = 239,569,270/x
  3. Step 3: Cross multiply
    110,584,064x = 239,569,270 × 239,569,270
  4. Step 4: Simplify right side
    110,584,064x = 57,393,435,128,332,896
  5. Step 5: Solve for x
    x = 57,393,435,128,332,896/110,584,064
  6. Step 6: Final answer
    x = 519,002,766.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.