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Finding the Third Proportional to 50,423.25 and 107,470.50

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Solution

The third proportional to 50,423.25 and 107,470.50 is: 229,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,423.25 : 107,470.50 = 107,470.50 : x
  2. Step 2: Convert to fraction form
    50,423.25/107,470.50 = 107,470.50/x
  3. Step 3: Cross multiply
    50,423.25x = 107,470.50 × 107,470.50
  4. Step 4: Simplify right side
    50,423.25x = 11,549,908,370.25
  5. Step 5: Solve for x
    x = 11,549,908,370.25/50,423.25
  6. Step 6: Final answer
    x = 229,059.18

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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.