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Finding the Third Proportional to 41,703 and 89,950.50

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Solution

The third proportional to 41,703 and 89,950.50 is: 194,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,703 : 89,950.50 = 89,950.50 : x
  2. Step 2: Convert to fraction form
    41,703/89,950.50 = 89,950.50/x
  3. Step 3: Cross multiply
    41,703x = 89,950.50 × 89,950.50
  4. Step 4: Simplify right side
    41,703x = 8,091,092,450.25
  5. Step 5: Solve for x
    x = 8,091,092,450.25/41,703
  6. Step 6: Final answer
    x = 194,017.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.