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Finding the Third Proportional to 106,083 and 228,770

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Solution

The third proportional to 106,083 and 228,770 is: 493,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,083 : 228,770 = 228,770 : x
  2. Step 2: Convert to fraction form
    106,083/228,770 = 228,770/x
  3. Step 3: Cross multiply
    106,083x = 228,770 × 228,770
  4. Step 4: Simplify right side
    106,083x = 52,335,712,900
  5. Step 5: Solve for x
    x = 52,335,712,900/106,083
  6. Step 6: Final answer
    x = 493,346.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.