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Finding the Third Proportional to 92,164.50 and 194,161.50

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Solution

The third proportional to 92,164.50 and 194,161.50 is: 409,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,164.50 : 194,161.50 = 194,161.50 : x
  2. Step 2: Convert to fraction form
    92,164.50/194,161.50 = 194,161.50/x
  3. Step 3: Cross multiply
    92,164.50x = 194,161.50 × 194,161.50
  4. Step 4: Simplify right side
    92,164.50x = 37,698,688,082.25
  5. Step 5: Solve for x
    x = 37,698,688,082.25/92,164.50
  6. Step 6: Final answer
    x = 409,036.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.