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Finding the Third Proportional to 92,600 and 196,832

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Solution

The third proportional to 92,600 and 196,832 is: 418,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,600 : 196,832 = 196,832 : x
  2. Step 2: Convert to fraction form
    92,600/196,832 = 196,832/x
  3. Step 3: Cross multiply
    92,600x = 196,832 × 196,832
  4. Step 4: Simplify right side
    92,600x = 38,742,836,224
  5. Step 5: Solve for x
    x = 38,742,836,224/92,600
  6. Step 6: Final answer
    x = 418,389.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.