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Finding the Third Proportional to 104,307.75 and 213,574.22

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Solution

The third proportional to 104,307.75 and 213,574.22 is: 437,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,307.75 : 213,574.22 = 213,574.22 : x
  2. Step 2: Convert to fraction form
    104,307.75/213,574.22 = 213,574.22/x
  3. Step 3: Cross multiply
    104,307.75x = 213,574.22 × 213,574.22
  4. Step 4: Simplify right side
    104,307.75x = 45,613,946,914.67
  5. Step 5: Solve for x
    x = 45,613,946,914.67/104,307.75
  6. Step 6: Final answer
    x = 437,301.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.