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Finding the Third Proportional to 48,926.25 and 105,091.88

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Solution

The third proportional to 48,926.25 and 105,091.88 is: 225,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,926.25 : 105,091.88 = 105,091.88 : x
  2. Step 2: Convert to fraction form
    48,926.25/105,091.88 = 105,091.88/x
  3. Step 3: Cross multiply
    48,926.25x = 105,091.88 × 105,091.88
  4. Step 4: Simplify right side
    48,926.25x = 11,044,302,191.02
  5. Step 5: Solve for x
    x = 11,044,302,191.02/48,926.25
  6. Step 6: Final answer
    x = 225,733.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.