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Finding the Third Proportional to 94,648.50 and 208,500

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Solution

The third proportional to 94,648.50 and 208,500 is: 459,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,648.50 : 208,500 = 208,500 : x
  2. Step 2: Convert to fraction form
    94,648.50/208,500 = 208,500/x
  3. Step 3: Cross multiply
    94,648.50x = 208,500 × 208,500
  4. Step 4: Simplify right side
    94,648.50x = 43,472,250,000
  5. Step 5: Solve for x
    x = 43,472,250,000/94,648.50
  6. Step 6: Final answer
    x = 459,302.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.