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Finding the Third Proportional to 49,635 and 107,045.50

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Solution

The third proportional to 49,635 and 107,045.50 is: 230,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,635 : 107,045.50 = 107,045.50 : x
  2. Step 2: Convert to fraction form
    49,635/107,045.50 = 107,045.50/x
  3. Step 3: Cross multiply
    49,635x = 107,045.50 × 107,045.50
  4. Step 4: Simplify right side
    49,635x = 11,458,739,070.25
  5. Step 5: Solve for x
    x = 11,458,739,070.25/49,635
  6. Step 6: Final answer
    x = 230,860.06

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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.