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Finding the Third Proportional to 44,083.50 and 97,977

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Solution

The third proportional to 44,083.50 and 97,977 is: 217,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,083.50 : 97,977 = 97,977 : x
  2. Step 2: Convert to fraction form
    44,083.50/97,977 = 97,977/x
  3. Step 3: Cross multiply
    44,083.50x = 97,977 × 97,977
  4. Step 4: Simplify right side
    44,083.50x = 9,599,492,529
  5. Step 5: Solve for x
    x = 9,599,492,529/44,083.50
  6. Step 6: Final answer
    x = 217,757.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.