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Finding the Third Proportional to 100,380.50 and 146,797.75

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Solution

The third proportional to 100,380.50 and 146,797.75 is: 214,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,380.50 : 146,797.75 = 146,797.75 : x
  2. Step 2: Convert to fraction form
    100,380.50/146,797.75 = 146,797.75/x
  3. Step 3: Cross multiply
    100,380.50x = 146,797.75 × 146,797.75
  4. Step 4: Simplify right side
    100,380.50x = 21,549,579,405.06
  5. Step 5: Solve for x
    x = 21,549,579,405.06/100,380.50
  6. Step 6: Final answer
    x = 214,678.94

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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.