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Finding the Third Proportional to 92,480 and 198,064

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Solution

The third proportional to 92,480 and 198,064 is: 424,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,480 : 198,064 = 198,064 : x
  2. Step 2: Convert to fraction form
    92,480/198,064 = 198,064/x
  3. Step 3: Cross multiply
    92,480x = 198,064 × 198,064
  4. Step 4: Simplify right side
    92,480x = 39,229,348,096
  5. Step 5: Solve for x
    x = 39,229,348,096/92,480
  6. Step 6: Final answer
    x = 424,192.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.