The difference between scanf() and getline()

I have been playing around with scanf() and getline() and I notice that there is a difference in strings. Take a look at the following code:

#include <stdio.h>

int main()
{
  int bytes_read;
  int nbytes = 100;
  char *my_string;
  char *other;

  other = (char*) malloc(100);

  puts ("Please enter a line of text.");

  my_string = (char *) malloc (nbytes + 1);
  bytes_read = getline (&my_string, &nbytes, stdin);

  if (bytes_read == -1)
    {
      puts ("ERROR!");
    }
  else
    {
      puts ("Please enter the same text again: ");
      scanf("%s", other);

      puts("\nLength of first string:");
      printf("%d", strlen(my_string));
      puts("\nLength of Second string:");
      printf("%d", strlen(other));
     
      if(my_string == other)
        {
                puts("\nMATCH");
        } else {
                puts("\nNO MATCH");
        }
    }

  return 0;
}

Now, lets say I input 'string' for both prompts and here is my output:
Please enter a line of text.
Please enter the same text again:

Length of first string:
7
Length of Second string:
6
NO MATCH

Now, my question is, first, why are the two strings not matching eventhough I input the same thing for both. And two, how do I make them match and get rid of the extra space or garbage character produced by the getline() function.

Thanks,
Igor