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First, let's convert 6 feet 3 inches to just inches. Because there are 12 inches in 1 foot, we can say that there are 72 inches in 6 feet. Combined with the other 3 inches, we can say that Marco is a 75 inches tall. This is represented as:

[tex]6 \, \textrm{feet} + 3 \, \textrm{inches} = (6 \,\textrm{feet}) \Big ( \dfrac{12 \,\textrm{inches}}{1 \,\textrm{foot}} \Big) + 3 \,\textrm{inches} = 75 \,\textrm{inches}[/tex]


Now, we can multiply the number of inches we found by 2.54 to get Marco's height in centimeters. This gives us 190.5 cm. This is represented as:

[tex]75 \,\textrm{inches} \cdot \dfrac{2.54 \,\textrm{cm}}{1 \,\textrm{inch}} = \boxed{190.5 \,\textrm{cm}}[/tex]

Marcos height in centimeters is gotten as; 190.5 cm

We are told that Marcus height is;

Height = 6 ft 3 inches

Now, we are told that;

1 inch = 2.54 cm

Let us convert Marcus height to inches first;

From conversion factors, we know that;

1 ft = 12 inches

Thus; 6 ft = 6 × 12/1 inches

>> 72 inches

Thus means that;

Total height in inches = 72 + 3

Total height in inches = 75 inches

Since 1 inch = 2.54 cm

Then 75 inches = 75 × 2.54/1

>> Total height in cm = 190.5 cm

Read more about conversion factors at;https://brainly.com/question/6560055