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Finding the Third Proportional to 104,360.06 and 223,477.31

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Solution

The third proportional to 104,360.06 and 223,477.31 is: 478,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,360.06 : 223,477.31 = 223,477.31 : x
  2. Step 2: Convert to fraction form
    104,360.06/223,477.31 = 223,477.31/x
  3. Step 3: Cross multiply
    104,360.06x = 223,477.31 × 223,477.31
  4. Step 4: Simplify right side
    104,360.06x = 49,942,109,202.22
  5. Step 5: Solve for x
    x = 49,942,109,202.22/104,360.06
  6. Step 6: Final answer
    x = 478,555.76

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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.