On the day fixed for hearing or any day to which the hearing is adjourned, the board shall hear and consider any objections presented to the annexation of the territory. After the hearing of objections, if it shall be determined by a vote of two-thirds of all the members of the board that the territory proposed to be annexed will be benefited by such annexation, the board shall proceed to fix and determine the boundaries of the territory to be annexed to the district, provided, however, that if there is filed with the clerk of the board prior to the close of said hearing, written protests against said annexation signed by fifty percent (50%) or more of the registered voters
within the area proposed to be annexed, then said annexation proceedings shall be terminated by board action and the board shall not within six months after said termination adopt a resolution pursuant to Section 70271 applicable to the same or substantially the same area involved in the prior terminated proceeding.