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Finding the Third Proportional to 97,310 and 213,064

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Solution

The third proportional to 97,310 and 213,064 is: 466,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,310 : 213,064 = 213,064 : x
  2. Step 2: Convert to fraction form
    97,310/213,064 = 213,064/x
  3. Step 3: Cross multiply
    97,310x = 213,064 × 213,064
  4. Step 4: Simplify right side
    97,310x = 45,396,268,096
  5. Step 5: Solve for x
    x = 45,396,268,096/97,310
  6. Step 6: Final answer
    x = 466,511.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.