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Finding the Third Proportional to 104,955.75 and 215,389.13

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Solution

The third proportional to 104,955.75 and 215,389.13 is: 442,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,955.75 : 215,389.13 = 215,389.13 : x
  2. Step 2: Convert to fraction form
    104,955.75/215,389.13 = 215,389.13/x
  3. Step 3: Cross multiply
    104,955.75x = 215,389.13 × 215,389.13
  4. Step 4: Simplify right side
    104,955.75x = 46,392,475,168.27
  5. Step 5: Solve for x
    x = 46,392,475,168.27/104,955.75
  6. Step 6: Final answer
    x = 442,019.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.