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Finding the Third Proportional to 91,632 and 193,100

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Solution

The third proportional to 91,632 and 193,100 is: 406,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,632 : 193,100 = 193,100 : x
  2. Step 2: Convert to fraction form
    91,632/193,100 = 193,100/x
  3. Step 3: Cross multiply
    91,632x = 193,100 × 193,100
  4. Step 4: Simplify right side
    91,632x = 37,287,610,000
  5. Step 5: Solve for x
    x = 37,287,610,000/91,632
  6. Step 6: Final answer
    x = 406,927.82

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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.