In the Berlin Treaty of 1729 the comital house of Bentheim-Tecklenburg abandoned all claims to the county.
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He held the counties of Bentheim, Tecklenburg, Steinfurt, Limburg an der Lenne, the Lordship of Rheda, possessions on the Lower Rhine and bailiff rights in the Archbishopric of Cologne.
In 1553, when he was 18 years old, Eberwin III married the 21 years old Anna of Tecklenburg-Schwerin, the heiress of Tecklenburg.
When his father died on 18 February 1724, he became Count of Somls-Braunfeld, Greifenstein and Hungen, Tecklenburg, Kriechingen and Lingen, Lord of Münzenberg, Wildenfels, Sonnewalde, Püttlingen, Dortweiler and Beaucourt.
During his reign, Arnold had to cope with a lawsuit brought by the Counts of Solms-Braunfels about the inheritance of the County of Tecklenburg.
In 1277, the County of Bentheim was partitioned into Bentheim-Bentheim (containing the County of Bentheim) and Bentheim-Tecklenburg (containing the County of Tecklenburg).
In 1263, Bentheim annexed the County of Tecklenburg, and over time various branches of the counts of Bentheim would annex and purchase various territories in Rheda, Steinfurt, and the Netherlands.