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Finding the Third Proportional to 49,139.16 and 105,625.27

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Solution

The third proportional to 49,139.16 and 105,625.27 is: 227,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,139.16 : 105,625.27 = 105,625.27 : x
  2. Step 2: Convert to fraction form
    49,139.16/105,625.27 = 105,625.27/x
  3. Step 3: Cross multiply
    49,139.16x = 105,625.27 × 105,625.27
  4. Step 4: Simplify right side
    49,139.16x = 11,156,696,738.35
  5. Step 5: Solve for x
    x = 11,156,696,738.35/49,139.16
  6. Step 6: Final answer
    x = 227,042.90

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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.