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Finding the Third Proportional to 94,624.50 and 206,961

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Solution

The third proportional to 94,624.50 and 206,961 is: 452,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,624.50 : 206,961 = 206,961 : x
  2. Step 2: Convert to fraction form
    94,624.50/206,961 = 206,961/x
  3. Step 3: Cross multiply
    94,624.50x = 206,961 × 206,961
  4. Step 4: Simplify right side
    94,624.50x = 42,832,855,521
  5. Step 5: Solve for x
    x = 42,832,855,521/94,624.50
  6. Step 6: Final answer
    x = 452,661.37

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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.