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Finding the Third Proportional to 49,430.50 and 102,367.50

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Solution

The third proportional to 49,430.50 and 102,367.50 is: 211,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,430.50 : 102,367.50 = 102,367.50 : x
  2. Step 2: Convert to fraction form
    49,430.50/102,367.50 = 102,367.50/x
  3. Step 3: Cross multiply
    49,430.50x = 102,367.50 × 102,367.50
  4. Step 4: Simplify right side
    49,430.50x = 10,479,105,056.25
  5. Step 5: Solve for x
    x = 10,479,105,056.25/49,430.50
  6. Step 6: Final answer
    x = 211,996.74

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.