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Finding the Third Proportional to 233,231,449 and 539,945,120

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Solution

The third proportional to 233,231,449 and 539,945,120 is: 1,250,006,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231,449 : 539,945,120 = 539,945,120 : x
  2. Step 2: Convert to fraction form
    233,231,449/539,945,120 = 539,945,120/x
  3. Step 3: Cross multiply
    233,231,449x = 539,945,120 × 539,945,120
  4. Step 4: Simplify right side
    233,231,449x = 291,540,732,611,814,400
  5. Step 5: Solve for x
    x = 291,540,732,611,814,400/233,231,449
  6. Step 6: Final answer
    x = 1,250,006,094.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.