Solution: red balloon 1 piece, yellow balloon 2, green balloon 3, 6 balloons each time1* *.

Then 96 balloons * * * loop 96/6= 16 times, and there is no remainder.

Then the 96th balloon is the last element in the cycle, which is the green balloon.

When solving mathematical problems, if we can first judge that the sought results have certain forms and models, we can first introduce some corresponding forms.

Except that it contains some undetermined coefficients. According to the conditions, we can list the equations about undetermined coefficients, and finally find out the values of these undetermined coefficients or some relationship between them, so that the method of undetermined coefficients has its unique role in solving mathematical problems.

When solving problems, through the analysis of conditions and conclusions, auxiliary elements are constructed, such as a figure, an equation (group), an equation, a function, an equivalent proposition and so on. So as to build a bridge connecting conditions and conclusions and solve problems.

Using construction method to solve problems can make algebra, trigonometry, geometry and other mathematical knowledge permeate each other, which is beneficial to solving problems.