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Finding the Third Proportional to 94,759.50 and 206,223

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Solution

The third proportional to 94,759.50 and 206,223 is: 448,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,759.50 : 206,223 = 206,223 : x
  2. Step 2: Convert to fraction form
    94,759.50/206,223 = 206,223/x
  3. Step 3: Cross multiply
    94,759.50x = 206,223 × 206,223
  4. Step 4: Simplify right side
    94,759.50x = 42,527,925,729
  5. Step 5: Solve for x
    x = 42,527,925,729/94,759.50
  6. Step 6: Final answer
    x = 448,798.55

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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.