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Finding the Third Proportional to 45,964.13 and 100,949.63

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Solution

The third proportional to 45,964.13 and 100,949.63 is: 221,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,964.13 : 100,949.63 = 100,949.63 : x
  2. Step 2: Convert to fraction form
    45,964.13/100,949.63 = 100,949.63/x
  3. Step 3: Cross multiply
    45,964.13x = 100,949.63 × 100,949.63
  4. Step 4: Simplify right side
    45,964.13x = 10,190,826,787.64
  5. Step 5: Solve for x
    x = 10,190,826,787.64/45,964.13
  6. Step 6: Final answer
    x = 221,712.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.