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Finding the Third Proportional to 123,899.63 and 196,921.13

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Solution

The third proportional to 123,899.63 and 196,921.13 is: 312,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,899.63 : 196,921.13 = 196,921.13 : x
  2. Step 2: Convert to fraction form
    123,899.63/196,921.13 = 196,921.13/x
  3. Step 3: Cross multiply
    123,899.63x = 196,921.13 × 196,921.13
  4. Step 4: Simplify right side
    123,899.63x = 38,777,929,471.27
  5. Step 5: Solve for x
    x = 38,777,929,471.27/123,899.63
  6. Step 6: Final answer
    x = 312,978.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.