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Finding the Third Proportional to 233,233,393.50 and 539,950,011.75

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Solution

The third proportional to 233,233,393.50 and 539,950,011.75 is: 1,250,018,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,393.50 : 539,950,011.75 = 539,950,011.75 : x
  2. Step 2: Convert to fraction form
    233,233,393.50/539,950,011.75 = 539,950,011.75/x
  3. Step 3: Cross multiply
    233,233,393.50x = 539,950,011.75 × 539,950,011.75
  4. Step 4: Simplify right side
    233,233,393.50x = 291,546,015,188,825,152
  5. Step 5: Solve for x
    x = 291,546,015,188,825,152/233,233,393.50
  6. Step 6: Final answer
    x = 1,250,018,322.05

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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.