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Finding the Third Proportional to 106,623 and 228,009

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Solution

The third proportional to 106,623 and 228,009 is: 487,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,623 : 228,009 = 228,009 : x
  2. Step 2: Convert to fraction form
    106,623/228,009 = 228,009/x
  3. Step 3: Cross multiply
    106,623x = 228,009 × 228,009
  4. Step 4: Simplify right side
    106,623x = 51,988,104,081
  5. Step 5: Solve for x
    x = 51,988,104,081/106,623
  6. Step 6: Final answer
    x = 487,588.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.