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Finding the Third Proportional to 107,738 and 229,093

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Solution

The third proportional to 107,738 and 229,093 is: 487,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,738 : 229,093 = 229,093 : x
  2. Step 2: Convert to fraction form
    107,738/229,093 = 229,093/x
  3. Step 3: Cross multiply
    107,738x = 229,093 × 229,093
  4. Step 4: Simplify right side
    107,738x = 52,483,602,649
  5. Step 5: Solve for x
    x = 52,483,602,649/107,738
  6. Step 6: Final answer
    x = 487,141.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.