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Finding the Third Proportional to 94,203 and 198,085.50

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Solution

The third proportional to 94,203 and 198,085.50 is: 416,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,203 : 198,085.50 = 198,085.50 : x
  2. Step 2: Convert to fraction form
    94,203/198,085.50 = 198,085.50/x
  3. Step 3: Cross multiply
    94,203x = 198,085.50 × 198,085.50
  4. Step 4: Simplify right side
    94,203x = 39,237,865,310.25
  5. Step 5: Solve for x
    x = 39,237,865,310.25/94,203
  6. Step 6: Final answer
    x = 416,524.58

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.