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Finding the Third Proportional to 106,019 and 228,646

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Solution

The third proportional to 106,019 and 228,646 is: 493,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,019 : 228,646 = 228,646 : x
  2. Step 2: Convert to fraction form
    106,019/228,646 = 228,646/x
  3. Step 3: Cross multiply
    106,019x = 228,646 × 228,646
  4. Step 4: Simplify right side
    106,019x = 52,278,993,316
  5. Step 5: Solve for x
    x = 52,278,993,316/106,019
  6. Step 6: Final answer
    x = 493,109.66

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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.