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Finding the Third Proportional to 201,108 and 416,134.50

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Solution

The third proportional to 201,108 and 416,134.50 is: 861,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,108 : 416,134.50 = 416,134.50 : x
  2. Step 2: Convert to fraction form
    201,108/416,134.50 = 416,134.50/x
  3. Step 3: Cross multiply
    201,108x = 416,134.50 × 416,134.50
  4. Step 4: Simplify right side
    201,108x = 173,167,922,090.25
  5. Step 5: Solve for x
    x = 173,167,922,090.25/201,108
  6. Step 6: Final answer
    x = 861,069.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.