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Finding the Third Proportional to 194,210,635.50 and 416,054,016

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Solution

The third proportional to 194,210,635.50 and 416,054,016 is: 891,305,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,210,635.50 : 416,054,016 = 416,054,016 : x
  2. Step 2: Convert to fraction form
    194,210,635.50/416,054,016 = 416,054,016/x
  3. Step 3: Cross multiply
    194,210,635.50x = 416,054,016 × 416,054,016
  4. Step 4: Simplify right side
    194,210,635.50x = 173,100,944,229,728,256
  5. Step 5: Solve for x
    x = 173,100,944,229,728,256/194,210,635.50
  6. Step 6: Final answer
    x = 891,305,173.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.