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Finding the Third Proportional to 98,693 and 217,064

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Solution

The third proportional to 98,693 and 217,064 is: 477,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,693 : 217,064 = 217,064 : x
  2. Step 2: Convert to fraction form
    98,693/217,064 = 217,064/x
  3. Step 3: Cross multiply
    98,693x = 217,064 × 217,064
  4. Step 4: Simplify right side
    98,693x = 47,116,780,096
  5. Step 5: Solve for x
    x = 47,116,780,096/98,693
  6. Step 6: Final answer
    x = 477,407.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.