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Finding the Third Proportional to 233,233,566.75 and 539,950,443.75

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Solution

The third proportional to 233,233,566.75 and 539,950,443.75 is: 1,250,019,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,566.75 : 539,950,443.75 = 539,950,443.75 : x
  2. Step 2: Convert to fraction form
    233,233,566.75/539,950,443.75 = 539,950,443.75/x
  3. Step 3: Cross multiply
    233,233,566.75x = 539,950,443.75 × 539,950,443.75
  4. Step 4: Simplify right side
    233,233,566.75x = 291,546,481,705,821,888
  5. Step 5: Solve for x
    x = 291,546,481,705,821,888/233,233,566.75
  6. Step 6: Final answer
    x = 1,250,019,393.73

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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.