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Finding the Third Proportional to 105,580.13 and 229,749.75

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Solution

The third proportional to 105,580.13 and 229,749.75 is: 499,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,580.13 : 229,749.75 = 229,749.75 : x
  2. Step 2: Convert to fraction form
    105,580.13/229,749.75 = 229,749.75/x
  3. Step 3: Cross multiply
    105,580.13x = 229,749.75 × 229,749.75
  4. Step 4: Simplify right side
    105,580.13x = 52,784,947,625.06
  5. Step 5: Solve for x
    x = 52,784,947,625.06/105,580.13
  6. Step 6: Final answer
    x = 499,951.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.