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Finding the Third Proportional to 94,842.75 and 203,138.25

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Solution

The third proportional to 94,842.75 and 203,138.25 is: 435,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,842.75 : 203,138.25 = 203,138.25 : x
  2. Step 2: Convert to fraction form
    94,842.75/203,138.25 = 203,138.25/x
  3. Step 3: Cross multiply
    94,842.75x = 203,138.25 × 203,138.25
  4. Step 4: Simplify right side
    94,842.75x = 41,265,148,613.06
  5. Step 5: Solve for x
    x = 41,265,148,613.06/94,842.75
  6. Step 6: Final answer
    x = 435,090.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.