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Finding the Third Proportional to 91,052.44 and 185,716.13

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Solution

The third proportional to 91,052.44 and 185,716.13 is: 378,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,052.44 : 185,716.13 = 185,716.13 : x
  2. Step 2: Convert to fraction form
    91,052.44/185,716.13 = 185,716.13/x
  3. Step 3: Cross multiply
    91,052.44x = 185,716.13 × 185,716.13
  4. Step 4: Simplify right side
    91,052.44x = 34,490,479,085.02
  5. Step 5: Solve for x
    x = 34,490,479,085.02/91,052.44
  6. Step 6: Final answer
    x = 378,797.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.