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Finding the Third Proportional to 94,961.81 and 202,634.16

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Solution

The third proportional to 94,961.81 and 202,634.16 is: 432,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,961.81 : 202,634.16 = 202,634.16 : x
  2. Step 2: Convert to fraction form
    94,961.81/202,634.16 = 202,634.16/x
  3. Step 3: Cross multiply
    94,961.81x = 202,634.16 × 202,634.16
  4. Step 4: Simplify right side
    94,961.81x = 41,060,601,279.15
  5. Step 5: Solve for x
    x = 41,060,601,279.15/94,961.81
  6. Step 6: Final answer
    x = 432,390.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.