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Finding the Third Proportional to 104,066 and 221,090

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Solution

The third proportional to 104,066 and 221,090 is: 469,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,066 : 221,090 = 221,090 : x
  2. Step 2: Convert to fraction form
    104,066/221,090 = 221,090/x
  3. Step 3: Cross multiply
    104,066x = 221,090 × 221,090
  4. Step 4: Simplify right side
    104,066x = 48,880,788,100
  5. Step 5: Solve for x
    x = 48,880,788,100/104,066
  6. Step 6: Final answer
    x = 469,709.49

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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.