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Finding the Third Proportional to 94,683.50 and 206,315

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Solution

The third proportional to 94,683.50 and 206,315 is: 449,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,683.50 : 206,315 = 206,315 : x
  2. Step 2: Convert to fraction form
    94,683.50/206,315 = 206,315/x
  3. Step 3: Cross multiply
    94,683.50x = 206,315 × 206,315
  4. Step 4: Simplify right side
    94,683.50x = 42,565,879,225
  5. Step 5: Solve for x
    x = 42,565,879,225/94,683.50
  6. Step 6: Final answer
    x = 449,559.63

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Why These Related Problems?

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