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Finding the Third Proportional to 101,847 and 149,813.50

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Solution

The third proportional to 101,847 and 149,813.50 is: 220,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,847 : 149,813.50 = 149,813.50 : x
  2. Step 2: Convert to fraction form
    101,847/149,813.50 = 149,813.50/x
  3. Step 3: Cross multiply
    101,847x = 149,813.50 × 149,813.50
  4. Step 4: Simplify right side
    101,847x = 22,444,084,782.25
  5. Step 5: Solve for x
    x = 22,444,084,782.25/101,847
  6. Step 6: Final answer
    x = 220,370.60

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Why These Related Problems?

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