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Finding the Third Proportional to 43,524 and 102,218.63

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Solution

The third proportional to 43,524 and 102,218.63 is: 240,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,524 : 102,218.63 = 102,218.63 : x
  2. Step 2: Convert to fraction form
    43,524/102,218.63 = 102,218.63/x
  3. Step 3: Cross multiply
    43,524x = 102,218.63 × 102,218.63
  4. Step 4: Simplify right side
    43,524x = 10,448,647,296.89
  5. Step 5: Solve for x
    x = 10,448,647,296.89/43,524
  6. Step 6: Final answer
    x = 240,066.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.