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Finding the Third Proportional to 53,899 and 113,383.50

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Solution

The third proportional to 53,899 and 113,383.50 is: 238,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,899 : 113,383.50 = 113,383.50 : x
  2. Step 2: Convert to fraction form
    53,899/113,383.50 = 113,383.50/x
  3. Step 3: Cross multiply
    53,899x = 113,383.50 × 113,383.50
  4. Step 4: Simplify right side
    53,899x = 12,855,818,072.25
  5. Step 5: Solve for x
    x = 12,855,818,072.25/53,899
  6. Step 6: Final answer
    x = 238,516.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.