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Finding the Third Proportional to 100,613.50 and 213,219

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Solution

The third proportional to 100,613.50 and 213,219 is: 451,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.50 : 213,219 = 213,219 : x
  2. Step 2: Convert to fraction form
    100,613.50/213,219 = 213,219/x
  3. Step 3: Cross multiply
    100,613.50x = 213,219 × 213,219
  4. Step 4: Simplify right side
    100,613.50x = 45,462,341,961
  5. Step 5: Solve for x
    x = 45,462,341,961/100,613.50
  6. Step 6: Final answer
    x = 451,851.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.