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Finding the Third Proportional to 91,928 and 184,468

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Solution

The third proportional to 91,928 and 184,468 is: 370,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,928 : 184,468 = 184,468 : x
  2. Step 2: Convert to fraction form
    91,928/184,468 = 184,468/x
  3. Step 3: Cross multiply
    91,928x = 184,468 × 184,468
  4. Step 4: Simplify right side
    91,928x = 34,028,443,024
  5. Step 5: Solve for x
    x = 34,028,443,024/91,928
  6. Step 6: Final answer
    x = 370,164.07

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.