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Finding the Third Proportional to 94,699.97 and 204,422.06

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Solution

The third proportional to 94,699.97 and 204,422.06 is: 441,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,699.97 : 204,422.06 = 204,422.06 : x
  2. Step 2: Convert to fraction form
    94,699.97/204,422.06 = 204,422.06/x
  3. Step 3: Cross multiply
    94,699.97x = 204,422.06 × 204,422.06
  4. Step 4: Simplify right side
    94,699.97x = 41,788,379,636.75
  5. Step 5: Solve for x
    x = 41,788,379,636.75/94,699.97
  6. Step 6: Final answer
    x = 441,271.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.