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Finding the Third Proportional to 114,848,205.75 and 176,529,997.13

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Solution

The third proportional to 114,848,205.75 and 176,529,997.13 is: 271,339,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,205.75 : 176,529,997.13 = 176,529,997.13 : x
  2. Step 2: Convert to fraction form
    114,848,205.75/176,529,997.13 = 176,529,997.13/x
  3. Step 3: Cross multiply
    114,848,205.75x = 176,529,997.13 × 176,529,997.13
  4. Step 4: Simplify right side
    114,848,205.75x = 31,162,839,884,952,508
  5. Step 5: Solve for x
    x = 31,162,839,884,952,508/114,848,205.75
  6. Step 6: Final answer
    x = 271,339,370.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.