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Finding the Third Proportional to 105,226.59 and 223,597.97

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Solution

The third proportional to 105,226.59 and 223,597.97 is: 475,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,226.59 : 223,597.97 = 223,597.97 : x
  2. Step 2: Convert to fraction form
    105,226.59/223,597.97 = 223,597.97/x
  3. Step 3: Cross multiply
    105,226.59x = 223,597.97 × 223,597.97
  4. Step 4: Simplify right side
    105,226.59x = 49,996,051,629.13
  5. Step 5: Solve for x
    x = 49,996,051,629.13/105,226.59
  6. Step 6: Final answer
    x = 475,127.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.