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Finding the Third Proportional to 100,034 and 218,656

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Solution

The third proportional to 100,034 and 218,656 is: 477,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,034 : 218,656 = 218,656 : x
  2. Step 2: Convert to fraction form
    100,034/218,656 = 218,656/x
  3. Step 3: Cross multiply
    100,034x = 218,656 × 218,656
  4. Step 4: Simplify right side
    100,034x = 47,810,446,336
  5. Step 5: Solve for x
    x = 47,810,446,336/100,034
  6. Step 6: Final answer
    x = 477,941.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.