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Finding the Third Proportional to 103,218.50 and 150,845

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Solution

The third proportional to 103,218.50 and 150,845 is: 220,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,218.50 : 150,845 = 150,845 : x
  2. Step 2: Convert to fraction form
    103,218.50/150,845 = 150,845/x
  3. Step 3: Cross multiply
    103,218.50x = 150,845 × 150,845
  4. Step 4: Simplify right side
    103,218.50x = 22,754,214,025
  5. Step 5: Solve for x
    x = 22,754,214,025/103,218.50
  6. Step 6: Final answer
    x = 220,447.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.