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Finding the Third Proportional to 109,988.63 and 166,213.13

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Solution

The third proportional to 109,988.63 and 166,213.13 is: 251,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,988.63 : 166,213.13 = 166,213.13 : x
  2. Step 2: Convert to fraction form
    109,988.63/166,213.13 = 166,213.13/x
  3. Step 3: Cross multiply
    109,988.63x = 166,213.13 × 166,213.13
  4. Step 4: Simplify right side
    109,988.63x = 27,626,802,922.27
  5. Step 5: Solve for x
    x = 27,626,802,922.27/109,988.63
  6. Step 6: Final answer
    x = 251,178.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.