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Finding the Third Proportional to 111,901.50 and 218,133

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Solution

The third proportional to 111,901.50 and 218,133 is: 425,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,901.50 : 218,133 = 218,133 : x
  2. Step 2: Convert to fraction form
    111,901.50/218,133 = 218,133/x
  3. Step 3: Cross multiply
    111,901.50x = 218,133 × 218,133
  4. Step 4: Simplify right side
    111,901.50x = 47,582,005,689
  5. Step 5: Solve for x
    x = 47,582,005,689/111,901.50
  6. Step 6: Final answer
    x = 425,213.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.