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Finding the Third Proportional to 98,808.75 and 147,942.75

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Solution

The third proportional to 98,808.75 and 147,942.75 is: 221,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,808.75 : 147,942.75 = 147,942.75 : x
  2. Step 2: Convert to fraction form
    98,808.75/147,942.75 = 147,942.75/x
  3. Step 3: Cross multiply
    98,808.75x = 147,942.75 × 147,942.75
  4. Step 4: Simplify right side
    98,808.75x = 21,887,057,277.56
  5. Step 5: Solve for x
    x = 21,887,057,277.56/98,808.75
  6. Step 6: Final answer
    x = 221,509.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.