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Finding the Third Proportional to 49,953.38 and 107,014.50

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Solution

The third proportional to 49,953.38 and 107,014.50 is: 229,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,953.38 : 107,014.50 = 107,014.50 : x
  2. Step 2: Convert to fraction form
    49,953.38/107,014.50 = 107,014.50/x
  3. Step 3: Cross multiply
    49,953.38x = 107,014.50 × 107,014.50
  4. Step 4: Simplify right side
    49,953.38x = 11,452,103,210.25
  5. Step 5: Solve for x
    x = 11,452,103,210.25/49,953.38
  6. Step 6: Final answer
    x = 229,255.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.