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Finding the Third Proportional to 100,275.19 and 150,434.44

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Solution

The third proportional to 100,275.19 and 150,434.44 is: 225,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,275.19 : 150,434.44 = 150,434.44 : x
  2. Step 2: Convert to fraction form
    100,275.19/150,434.44 = 150,434.44/x
  3. Step 3: Cross multiply
    100,275.19x = 150,434.44 × 150,434.44
  4. Step 4: Simplify right side
    100,275.19x = 22,630,519,985.94
  5. Step 5: Solve for x
    x = 22,630,519,985.94/100,275.19
  6. Step 6: Final answer
    x = 225,684.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.