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Finding the Third Proportional to 106,186 and 228,114

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Solution

The third proportional to 106,186 and 228,114 is: 490,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,186 : 228,114 = 228,114 : x
  2. Step 2: Convert to fraction form
    106,186/228,114 = 228,114/x
  3. Step 3: Cross multiply
    106,186x = 228,114 × 228,114
  4. Step 4: Simplify right side
    106,186x = 52,035,996,996
  5. Step 5: Solve for x
    x = 52,035,996,996/106,186
  6. Step 6: Final answer
    x = 490,045.74

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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.