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Finding the Third Proportional to 68,225.63 and 149,846.63

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Solution

The third proportional to 68,225.63 and 149,846.63 is: 329,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,225.63 : 149,846.63 = 149,846.63 : x
  2. Step 2: Convert to fraction form
    68,225.63/149,846.63 = 149,846.63/x
  3. Step 3: Cross multiply
    68,225.63x = 149,846.63 × 149,846.63
  4. Step 4: Simplify right side
    68,225.63x = 22,454,011,023.89
  5. Step 5: Solve for x
    x = 22,454,011,023.89/68,225.63
  6. Step 6: Final answer
    x = 329,114.04

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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.