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Finding the Third Proportional to 104,356.69 and 223,470.56

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Solution

The third proportional to 104,356.69 and 223,470.56 is: 478,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,356.69 : 223,470.56 = 223,470.56 : x
  2. Step 2: Convert to fraction form
    104,356.69/223,470.56 = 223,470.56/x
  3. Step 3: Cross multiply
    104,356.69x = 223,470.56 × 223,470.56
  4. Step 4: Simplify right side
    104,356.69x = 49,939,092,304.07
  5. Step 5: Solve for x
    x = 49,939,092,304.07/104,356.69
  6. Step 6: Final answer
    x = 478,542.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.