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Finding the Third Proportional to 107,801 and 226,776

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Solution

The third proportional to 107,801 and 226,776 is: 477,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,801 : 226,776 = 226,776 : x
  2. Step 2: Convert to fraction form
    107,801/226,776 = 226,776/x
  3. Step 3: Cross multiply
    107,801x = 226,776 × 226,776
  4. Step 4: Simplify right side
    107,801x = 51,427,354,176
  5. Step 5: Solve for x
    x = 51,427,354,176/107,801
  6. Step 6: Final answer
    x = 477,058.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.