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Finding the Third Proportional to 96,284 and 210,064

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Solution

The third proportional to 96,284 and 210,064 is: 458,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,284 : 210,064 = 210,064 : x
  2. Step 2: Convert to fraction form
    96,284/210,064 = 210,064/x
  3. Step 3: Cross multiply
    96,284x = 210,064 × 210,064
  4. Step 4: Simplify right side
    96,284x = 44,126,884,096
  5. Step 5: Solve for x
    x = 44,126,884,096/96,284
  6. Step 6: Final answer
    x = 458,299.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.