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Finding the Third Proportional to 107,469,114.75 and 233,184,370.50

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Solution

The third proportional to 107,469,114.75 and 233,184,370.50 is: 505,958,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,469,114.75 : 233,184,370.50 = 233,184,370.50 : x
  2. Step 2: Convert to fraction form
    107,469,114.75/233,184,370.50 = 233,184,370.50/x
  3. Step 3: Cross multiply
    107,469,114.75x = 233,184,370.50 × 233,184,370.50
  4. Step 4: Simplify right side
    107,469,114.75x = 54,374,950,645,481,272
  5. Step 5: Solve for x
    x = 54,374,950,645,481,272/107,469,114.75
  6. Step 6: Final answer
    x = 505,958,858.71

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