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Finding the Third Proportional to 105,536.25 and 222,007.50

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Solution

The third proportional to 105,536.25 and 222,007.50 is: 467,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,536.25 : 222,007.50 = 222,007.50 : x
  2. Step 2: Convert to fraction form
    105,536.25/222,007.50 = 222,007.50/x
  3. Step 3: Cross multiply
    105,536.25x = 222,007.50 × 222,007.50
  4. Step 4: Simplify right side
    105,536.25x = 49,287,330,056.25
  5. Step 5: Solve for x
    x = 49,287,330,056.25/105,536.25
  6. Step 6: Final answer
    x = 467,018.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.