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Finding the Third Proportional to 90,784,867.50 and 188,029,512

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Solution

The third proportional to 90,784,867.50 and 188,029,512 is: 389,438,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784,867.50 : 188,029,512 = 188,029,512 : x
  2. Step 2: Convert to fraction form
    90,784,867.50/188,029,512 = 188,029,512/x
  3. Step 3: Cross multiply
    90,784,867.50x = 188,029,512 × 188,029,512
  4. Step 4: Simplify right side
    90,784,867.50x = 35,355,097,382,958,144
  5. Step 5: Solve for x
    x = 35,355,097,382,958,144/90,784,867.50
  6. Step 6: Final answer
    x = 389,438,221.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.