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Finding the Third Proportional to 97,279 and 213,010

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Solution

The third proportional to 97,279 and 213,010 is: 466,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,279 : 213,010 = 213,010 : x
  2. Step 2: Convert to fraction form
    97,279/213,010 = 213,010/x
  3. Step 3: Cross multiply
    97,279x = 213,010 × 213,010
  4. Step 4: Simplify right side
    97,279x = 45,373,260,100
  5. Step 5: Solve for x
    x = 45,373,260,100/97,279
  6. Step 6: Final answer
    x = 466,424.00

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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.