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Finding the Third Proportional to 106,877 and 229,833

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Solution

The third proportional to 106,877 and 229,833 is: 494,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,877 : 229,833 = 229,833 : x
  2. Step 2: Convert to fraction form
    106,877/229,833 = 229,833/x
  3. Step 3: Cross multiply
    106,877x = 229,833 × 229,833
  4. Step 4: Simplify right side
    106,877x = 52,823,207,889
  5. Step 5: Solve for x
    x = 52,823,207,889/106,877
  6. Step 6: Final answer
    x = 494,242.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.