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Finding the Third Proportional to 148,199.63 and 218,998.69

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Solution

The third proportional to 148,199.63 and 218,998.69 is: 323,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,199.63 : 218,998.69 = 218,998.69 : x
  2. Step 2: Convert to fraction form
    148,199.63/218,998.69 = 218,998.69/x
  3. Step 3: Cross multiply
    148,199.63x = 218,998.69 × 218,998.69
  4. Step 4: Simplify right side
    148,199.63x = 47,960,425,126.72
  5. Step 5: Solve for x
    x = 47,960,425,126.72/148,199.63
  6. Step 6: Final answer
    x = 323,620.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.