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Finding the Third Proportional to 44,811.41 and 97,525.41

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Solution

The third proportional to 44,811.41 and 97,525.41 is: 212,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,811.41 : 97,525.41 = 97,525.41 : x
  2. Step 2: Convert to fraction form
    44,811.41/97,525.41 = 97,525.41/x
  3. Step 3: Cross multiply
    44,811.41x = 97,525.41 × 97,525.41
  4. Step 4: Simplify right side
    44,811.41x = 9,511,204,864.23
  5. Step 5: Solve for x
    x = 9,511,204,864.23/44,811.41
  6. Step 6: Final answer
    x = 212,249.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.