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Finding the Third Proportional to 107,798 and 222,511

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Solution

The third proportional to 107,798 and 222,511 is: 459,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,798 : 222,511 = 222,511 : x
  2. Step 2: Convert to fraction form
    107,798/222,511 = 222,511/x
  3. Step 3: Cross multiply
    107,798x = 222,511 × 222,511
  4. Step 4: Simplify right side
    107,798x = 49,511,145,121
  5. Step 5: Solve for x
    x = 49,511,145,121/107,798
  6. Step 6: Final answer
    x = 459,295.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.