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Finding the Third Proportional to 98,313.75 and 212,694.75

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Solution

The third proportional to 98,313.75 and 212,694.75 is: 460,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,313.75 : 212,694.75 = 212,694.75 : x
  2. Step 2: Convert to fraction form
    98,313.75/212,694.75 = 212,694.75/x
  3. Step 3: Cross multiply
    98,313.75x = 212,694.75 × 212,694.75
  4. Step 4: Simplify right side
    98,313.75x = 45,239,056,677.56
  5. Step 5: Solve for x
    x = 45,239,056,677.56/98,313.75
  6. Step 6: Final answer
    x = 460,149.84

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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.