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Finding the Third Proportional to 194,210,638 and 416,054,020

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Solution

The third proportional to 194,210,638 and 416,054,020 is: 891,305,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,210,638 : 416,054,020 = 416,054,020 : x
  2. Step 2: Convert to fraction form
    194,210,638/416,054,020 = 416,054,020/x
  3. Step 3: Cross multiply
    194,210,638x = 416,054,020 × 416,054,020
  4. Step 4: Simplify right side
    194,210,638x = 173,100,947,558,160,384
  5. Step 5: Solve for x
    x = 173,100,947,558,160,384/194,210,638
  6. Step 6: Final answer
    x = 891,305,179.47

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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.