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Finding the Third Proportional to 104,529.75 and 222,543.75

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Solution

The third proportional to 104,529.75 and 222,543.75 is: 473,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,529.75 : 222,543.75 = 222,543.75 : x
  2. Step 2: Convert to fraction form
    104,529.75/222,543.75 = 222,543.75/x
  3. Step 3: Cross multiply
    104,529.75x = 222,543.75 × 222,543.75
  4. Step 4: Simplify right side
    104,529.75x = 49,525,720,664.06
  5. Step 5: Solve for x
    x = 49,525,720,664.06/104,529.75
  6. Step 6: Final answer
    x = 473,795.46

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.