Provided  Or Providing =  On condition that

Examples.

• You can borrow my pen provided you return it tomorrow.
• I will go to meet the customer provided my expenses are paid by the bank.
• Provided (that) he studies hard, he’ll pass his exams.
• Provided (that) there is demand from the customers, we will happily introduce the new product.
• I will go there to meet him providing my expenses are paid by you.
• Providing (that) the minister comes in time, we’ll submit a memorandum
• Providing (that) the members are willing , we will arrange a pleasure trip to Veegaland.
• Provided (that) there are surplus funds with us, we can think of additional facilities for the trainees.
• Provided (that) the bus leaves on time, we should reach the station in time.
• She’s welcome to come with us provided (that) she behaves herself.

Note:  In modern English the use of ‘ that ‘ after provided/providing is often omitted.