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Finding the Third Proportional to 100,474.50 and 214,767.50

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Solution

The third proportional to 100,474.50 and 214,767.50 is: 459,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,474.50 : 214,767.50 = 214,767.50 : x
  2. Step 2: Convert to fraction form
    100,474.50/214,767.50 = 214,767.50/x
  3. Step 3: Cross multiply
    100,474.50x = 214,767.50 × 214,767.50
  4. Step 4: Simplify right side
    100,474.50x = 46,125,079,056.25
  5. Step 5: Solve for x
    x = 46,125,079,056.25/100,474.50
  6. Step 6: Final answer
    x = 459,072.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.