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Finding the Third Proportional to 91,022 and 189,312

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Solution

The third proportional to 91,022 and 189,312 is: 393,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,022 : 189,312 = 189,312 : x
  2. Step 2: Convert to fraction form
    91,022/189,312 = 189,312/x
  3. Step 3: Cross multiply
    91,022x = 189,312 × 189,312
  4. Step 4: Simplify right side
    91,022x = 35,839,033,344
  5. Step 5: Solve for x
    x = 35,839,033,344/91,022
  6. Step 6: Final answer
    x = 393,740.34

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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.