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Finding the Third Proportional to 49,695 and 108,313.50

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Solution

The third proportional to 49,695 and 108,313.50 is: 236,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,695 : 108,313.50 = 108,313.50 : x
  2. Step 2: Convert to fraction form
    49,695/108,313.50 = 108,313.50/x
  3. Step 3: Cross multiply
    49,695x = 108,313.50 × 108,313.50
  4. Step 4: Simplify right side
    49,695x = 11,731,814,282.25
  5. Step 5: Solve for x
    x = 11,731,814,282.25/49,695
  6. Step 6: Final answer
    x = 236,076.35

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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.