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Finding the Third Proportional to 77,882,523.75 and 166,189,220.75

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Solution

The third proportional to 77,882,523.75 and 166,189,220.75 is: 354,622,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882,523.75 : 166,189,220.75 = 166,189,220.75 : x
  2. Step 2: Convert to fraction form
    77,882,523.75/166,189,220.75 = 166,189,220.75/x
  3. Step 3: Cross multiply
    77,882,523.75x = 166,189,220.75 × 166,189,220.75
  4. Step 4: Simplify right side
    77,882,523.75x = 27,618,857,093,492,232
  5. Step 5: Solve for x
    x = 27,618,857,093,492,232/77,882,523.75
  6. Step 6: Final answer
    x = 354,622,009.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.