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Finding the Third Proportional to 91,092 and 197,944

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Solution

The third proportional to 91,092 and 197,944 is: 430,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,092 : 197,944 = 197,944 : x
  2. Step 2: Convert to fraction form
    91,092/197,944 = 197,944/x
  3. Step 3: Cross multiply
    91,092x = 197,944 × 197,944
  4. Step 4: Simplify right side
    91,092x = 39,181,827,136
  5. Step 5: Solve for x
    x = 39,181,827,136/91,092
  6. Step 6: Final answer
    x = 430,134.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.