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Finding the Third Proportional to 50,470.50 and 109,303.50

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Solution

The third proportional to 50,470.50 and 109,303.50 is: 236,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.50 : 109,303.50 = 109,303.50 : x
  2. Step 2: Convert to fraction form
    50,470.50/109,303.50 = 109,303.50/x
  3. Step 3: Cross multiply
    50,470.50x = 109,303.50 × 109,303.50
  4. Step 4: Simplify right side
    50,470.50x = 11,947,255,112.25
  5. Step 5: Solve for x
    x = 11,947,255,112.25/50,470.50
  6. Step 6: Final answer
    x = 236,717.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.