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Finding the Third Proportional to 41,441.63 and 90,473.63

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Solution

The third proportional to 41,441.63 and 90,473.63 is: 197,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,441.63 : 90,473.63 = 90,473.63 : x
  2. Step 2: Convert to fraction form
    41,441.63/90,473.63 = 90,473.63/x
  3. Step 3: Cross multiply
    41,441.63x = 90,473.63 × 90,473.63
  4. Step 4: Simplify right side
    41,441.63x = 8,185,476,820.64
  5. Step 5: Solve for x
    x = 8,185,476,820.64/41,441.63
  6. Step 6: Final answer
    x = 197,518.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.