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Finding the Third Proportional to 96,798 and 212,187

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Solution

The third proportional to 96,798 and 212,187 is: 465,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,798 : 212,187 = 212,187 : x
  2. Step 2: Convert to fraction form
    96,798/212,187 = 212,187/x
  3. Step 3: Cross multiply
    96,798x = 212,187 × 212,187
  4. Step 4: Simplify right side
    96,798x = 45,023,322,969
  5. Step 5: Solve for x
    x = 45,023,322,969/96,798
  6. Step 6: Final answer
    x = 465,126.58

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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.