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Finding the Third Proportional to 188,853.19 and 414,919.13

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Solution

The third proportional to 188,853.19 and 414,919.13 is: 911,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,853.19 : 414,919.13 = 414,919.13 : x
  2. Step 2: Convert to fraction form
    188,853.19/414,919.13 = 414,919.13/x
  3. Step 3: Cross multiply
    188,853.19x = 414,919.13 × 414,919.13
  4. Step 4: Simplify right side
    188,853.19x = 172,157,880,290.77
  5. Step 5: Solve for x
    x = 172,157,880,290.77/188,853.19
  6. Step 6: Final answer
    x = 911,596.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.