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Finding the Third Proportional to 45,235.13 and 91,685.25

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Solution

The third proportional to 45,235.13 and 91,685.25 is: 185,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,235.13 : 91,685.25 = 91,685.25 : x
  2. Step 2: Convert to fraction form
    45,235.13/91,685.25 = 91,685.25/x
  3. Step 3: Cross multiply
    45,235.13x = 91,685.25 × 91,685.25
  4. Step 4: Simplify right side
    45,235.13x = 8,406,185,067.56
  5. Step 5: Solve for x
    x = 8,406,185,067.56/45,235.13
  6. Step 6: Final answer
    x = 185,833.13

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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.