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Finding the Third Proportional to 91,620 and 197,064

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Solution

The third proportional to 91,620 and 197,064 is: 423,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,620 : 197,064 = 197,064 : x
  2. Step 2: Convert to fraction form
    91,620/197,064 = 197,064/x
  3. Step 3: Cross multiply
    91,620x = 197,064 × 197,064
  4. Step 4: Simplify right side
    91,620x = 38,834,220,096
  5. Step 5: Solve for x
    x = 38,834,220,096/91,620
  6. Step 6: Final answer
    x = 423,861.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.