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Finding the Third Proportional to 45,208.13 and 91,646.44

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Solution

The third proportional to 45,208.13 and 91,646.44 is: 185,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208.13 : 91,646.44 = 91,646.44 : x
  2. Step 2: Convert to fraction form
    45,208.13/91,646.44 = 91,646.44/x
  3. Step 3: Cross multiply
    45,208.13x = 91,646.44 × 91,646.44
  4. Step 4: Simplify right side
    45,208.13x = 8,399,069,506.44
  5. Step 5: Solve for x
    x = 8,399,069,506.44/45,208.13
  6. Step 6: Final answer
    x = 185,786.73

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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.