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mediante

by means of, through

m e ˈd j a n t e
preposition Rare #33,389
by means of, through Often used in formal writing; it introduces the means or method used to achieve something.
SP: Lo resolvimos mediante un acuerdo.
EN: We solved it through an agreement.

Se lo explicaré mediante un ejemplo.

I will explain it to you with an example.

— R.A.F. Facción del ejército rojo (2008)

Esta cárcel solo realiza ejecuciones mediante inyección letal.

This prison only carries out executions by lethal injection.

Si quieres enviar dinero a España, hazlo mediante el Partido Comunista.

If you want to send money to Spain, do it through the Communist Party.

— Oppenheimer (2023)

Pero, aún más importante, mediante la evolución mental y espiritual.

But, even more importantly, through mental and spiritual evolution.

— Roma (2018)

Una bombilla es un globo de cristal que produce luz mediante electricidad.

A light bulb is a glass globe that produces light using electricity.

Aprendemos mediante el método prueba-error.

We learn through trial and error.

Ella está relacionada con él mediante matrimonio.

She is related to him through marriage.

El GPS permite encontrarte mediante satélites.

GPS allows you to be located using satellites.