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Finding the Third Proportional to 45,214.88 and 91,661.63

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Solution

The third proportional to 45,214.88 and 91,661.63 is: 185,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,214.88 : 91,661.63 = 91,661.63 : x
  2. Step 2: Convert to fraction form
    45,214.88/91,661.63 = 91,661.63/x
  3. Step 3: Cross multiply
    45,214.88x = 91,661.63 × 91,661.63
  4. Step 4: Simplify right side
    45,214.88x = 8,401,853,497.64
  5. Step 5: Solve for x
    x = 8,401,853,497.64/45,214.88
  6. Step 6: Final answer
    x = 185,820.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.