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Finding the Third Proportional to 233,231,483 and 539,945,202

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Solution

The third proportional to 233,231,483 and 539,945,202 is: 1,250,006,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231,483 : 539,945,202 = 539,945,202 : x
  2. Step 2: Convert to fraction form
    233,231,483/539,945,202 = 539,945,202/x
  3. Step 3: Cross multiply
    233,231,483x = 539,945,202 × 539,945,202
  4. Step 4: Simplify right side
    233,231,483x = 291,540,821,162,820,800
  5. Step 5: Solve for x
    x = 291,540,821,162,820,800/233,231,483
  6. Step 6: Final answer
    x = 1,250,006,291.66

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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.