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Finding the Third Proportional to 99,154 and 203,140

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Solution

The third proportional to 99,154 and 203,140 is: 416,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,154 : 203,140 = 203,140 : x
  2. Step 2: Convert to fraction form
    99,154/203,140 = 203,140/x
  3. Step 3: Cross multiply
    99,154x = 203,140 × 203,140
  4. Step 4: Simplify right side
    99,154x = 41,265,859,600
  5. Step 5: Solve for x
    x = 41,265,859,600/99,154
  6. Step 6: Final answer
    x = 416,179.47

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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.