Optical frequency comb with evenly spaced lines over a broad bandwidth has revolutionized the fields of optical metrology and spectroscopy. Despite dual-comb spectroscopy (DCS) offers a superb overall performance on spectral resolution, measurement bandwidth and refresh rate, these parameters are still constrained by the Nyquist-limited trade-off. Here, we propose a novel DCS system to overcome this limitation with tens of spectral acquisition rate improvement, which is built with two electro-optic frequency combs seeded by an ultralinearly swept light source. The proposed scheme records a spectrum spanning 304 GHz with a spectral resolution of 10 kHz in 1.6 ms, which achieves a spectral sampling-rate of 1.9×1010 points/s. We also demonstrate the 100-averaged results with 28.9 dB signal-to-noise ratio for high sensitivity measurement. The demonstration shows great prospect for precise measurement with significant performance breakthrough.