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The stellar disk of the Milky Way galaxy is approximately 100,000 light years in diameter, and is believed to be, on average, about 1,000 light years thick. It is estimated to contain at least 200 billion stars and possibly up to 400 billion stars, the exact figure depending on the number of very low mass stars, which is highly uncertain. Extending beyond the stellar disk is a much thicker disk of gas. Recent observations indicate that the gaseous disk of the Milky Way has a thickness of around 12,000 light years ---twice the previously accepted value.

The Sun (and therefore the Earth and Solar System) may be found close to the inner rim of the Galaxy's Orion Arm, in the Local Fluff inside the Local Bubble, and in the Gould Belt, at a distance of ~25,000 light years from the Galactic Center.

So a rough estimate, because there is no real defined outer edge, puts our solar system about 25 thousand light years from the edge of the Milky Way Galaxy.

[See Link] for pictorial impression of our location in the Milky Way.

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