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Finding the Third Proportional to 96,610.50 and 211,515

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Solution

The third proportional to 96,610.50 and 211,515 is: 463,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,610.50 : 211,515 = 211,515 : x
  2. Step 2: Convert to fraction form
    96,610.50/211,515 = 211,515/x
  3. Step 3: Cross multiply
    96,610.50x = 211,515 × 211,515
  4. Step 4: Simplify right side
    96,610.50x = 44,738,595,225
  5. Step 5: Solve for x
    x = 44,738,595,225/96,610.50
  6. Step 6: Final answer
    x = 463,082.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.