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Finding the Third Proportional to 94,418 and 199,770

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Solution

The third proportional to 94,418 and 199,770 is: 422,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,418 : 199,770 = 199,770 : x
  2. Step 2: Convert to fraction form
    94,418/199,770 = 199,770/x
  3. Step 3: Cross multiply
    94,418x = 199,770 × 199,770
  4. Step 4: Simplify right side
    94,418x = 39,908,052,900
  5. Step 5: Solve for x
    x = 39,908,052,900/94,418
  6. Step 6: Final answer
    x = 422,674.20

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.