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Finding the Third Proportional to 101,584.13 and 210,336.75

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Solution

The third proportional to 101,584.13 and 210,336.75 is: 435,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,584.13 : 210,336.75 = 210,336.75 : x
  2. Step 2: Convert to fraction form
    101,584.13/210,336.75 = 210,336.75/x
  3. Step 3: Cross multiply
    101,584.13x = 210,336.75 × 210,336.75
  4. Step 4: Simplify right side
    101,584.13x = 44,241,548,400.56
  5. Step 5: Solve for x
    x = 44,241,548,400.56/101,584.13
  6. Step 6: Final answer
    x = 435,516.36

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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.