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Finding the Third Proportional to 91,094.25 and 200,123.25

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Solution

The third proportional to 91,094.25 and 200,123.25 is: 439,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,094.25 : 200,123.25 = 200,123.25 : x
  2. Step 2: Convert to fraction form
    91,094.25/200,123.25 = 200,123.25/x
  3. Step 3: Cross multiply
    91,094.25x = 200,123.25 × 200,123.25
  4. Step 4: Simplify right side
    91,094.25x = 40,049,315,190.56
  5. Step 5: Solve for x
    x = 40,049,315,190.56/91,094.25
  6. Step 6: Final answer
    x = 439,647.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.