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Finding the Third Proportional to 91,012 and 189,290

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Solution

The third proportional to 91,012 and 189,290 is: 393,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,012 : 189,290 = 189,290 : x
  2. Step 2: Convert to fraction form
    91,012/189,290 = 189,290/x
  3. Step 3: Cross multiply
    91,012x = 189,290 × 189,290
  4. Step 4: Simplify right side
    91,012x = 35,830,704,100
  5. Step 5: Solve for x
    x = 35,830,704,100/91,012
  6. Step 6: Final answer
    x = 393,692.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.