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Finding the Third Proportional to 101,194.75 and 148,511.50

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Solution

The third proportional to 101,194.75 and 148,511.50 is: 217,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,194.75 : 148,511.50 = 148,511.50 : x
  2. Step 2: Convert to fraction form
    101,194.75/148,511.50 = 148,511.50/x
  3. Step 3: Cross multiply
    101,194.75x = 148,511.50 × 148,511.50
  4. Step 4: Simplify right side
    101,194.75x = 22,055,665,632.25
  5. Step 5: Solve for x
    x = 22,055,665,632.25/101,194.75
  6. Step 6: Final answer
    x = 217,952.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.