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Finding the Third Proportional to 113,886 and 227,637

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Solution

The third proportional to 113,886 and 227,637 is: 455,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886 : 227,637 = 227,637 : x
  2. Step 2: Convert to fraction form
    113,886/227,637 = 227,637/x
  3. Step 3: Cross multiply
    113,886x = 227,637 × 227,637
  4. Step 4: Simplify right side
    113,886x = 51,818,603,769
  5. Step 5: Solve for x
    x = 51,818,603,769/113,886
  6. Step 6: Final answer
    x = 455,004.16

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.