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Finding the Third Proportional to 49,957 and 109,065.88

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Solution

The third proportional to 49,957 and 109,065.88 is: 238,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,957 : 109,065.88 = 109,065.88 : x
  2. Step 2: Convert to fraction form
    49,957/109,065.88 = 109,065.88/x
  3. Step 3: Cross multiply
    49,957x = 109,065.88 × 109,065.88
  4. Step 4: Simplify right side
    49,957x = 11,895,365,089.52
  5. Step 5: Solve for x
    x = 11,895,365,089.52/49,957
  6. Step 6: Final answer
    x = 238,112.08

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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.