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Finding the Third Proportional to 104,068 and 221,092

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Solution

The third proportional to 104,068 and 221,092 is: 469,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,068 : 221,092 = 221,092 : x
  2. Step 2: Convert to fraction form
    104,068/221,092 = 221,092/x
  3. Step 3: Cross multiply
    104,068x = 221,092 × 221,092
  4. Step 4: Simplify right side
    104,068x = 48,881,672,464
  5. Step 5: Solve for x
    x = 48,881,672,464/104,068
  6. Step 6: Final answer
    x = 469,708.96

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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.