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Finding the Third Proportional to 49,235.34 and 107,381.95

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Solution

The third proportional to 49,235.34 and 107,381.95 is: 234,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235.34 : 107,381.95 = 107,381.95 : x
  2. Step 2: Convert to fraction form
    49,235.34/107,381.95 = 107,381.95/x
  3. Step 3: Cross multiply
    49,235.34x = 107,381.95 × 107,381.95
  4. Step 4: Simplify right side
    49,235.34x = 11,530,883,856.94
  5. Step 5: Solve for x
    x = 11,530,883,856.94/49,235.34
  6. Step 6: Final answer
    x = 234,199.32

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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.