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Finding the Third Proportional to 91,014 and 189,294

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Solution

The third proportional to 91,014 and 189,294 is: 393,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,014 : 189,294 = 189,294 : x
  2. Step 2: Convert to fraction form
    91,014/189,294 = 189,294/x
  3. Step 3: Cross multiply
    91,014x = 189,294 × 189,294
  4. Step 4: Simplify right side
    91,014x = 35,832,218,436
  5. Step 5: Solve for x
    x = 35,832,218,436/91,014
  6. Step 6: Final answer
    x = 393,700.07

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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.