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Finding the Third Proportional to 98,906 and 214,226

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Solution

The third proportional to 98,906 and 214,226 is: 464,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,906 : 214,226 = 214,226 : x
  2. Step 2: Convert to fraction form
    98,906/214,226 = 214,226/x
  3. Step 3: Cross multiply
    98,906x = 214,226 × 214,226
  4. Step 4: Simplify right side
    98,906x = 45,892,779,076
  5. Step 5: Solve for x
    x = 45,892,779,076/98,906
  6. Step 6: Final answer
    x = 464,003.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.