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Finding the Third Proportional to 104,069 and 216,946

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Solution

The third proportional to 104,069 and 216,946 is: 452,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,069 : 216,946 = 216,946 : x
  2. Step 2: Convert to fraction form
    104,069/216,946 = 216,946/x
  3. Step 3: Cross multiply
    104,069x = 216,946 × 216,946
  4. Step 4: Simplify right side
    104,069x = 47,065,566,916
  5. Step 5: Solve for x
    x = 47,065,566,916/104,069
  6. Step 6: Final answer
    x = 452,253.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.