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Finding the Third Proportional to 219,188.81 and 471,668.63

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Solution

The third proportional to 219,188.81 and 471,668.63 is: 1,014,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,188.81 : 471,668.63 = 471,668.63 : x
  2. Step 2: Convert to fraction form
    219,188.81/471,668.63 = 471,668.63/x
  3. Step 3: Cross multiply
    219,188.81x = 471,668.63 × 471,668.63
  4. Step 4: Simplify right side
    219,188.81x = 222,471,291,809.39
  5. Step 5: Solve for x
    x = 222,471,291,809.39/219,188.81
  6. Step 6: Final answer
    x = 1,014,975.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.