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Finding the Third Proportional to 53,896.88 and 113,379.43

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Solution

The third proportional to 53,896.88 and 113,379.43 is: 238,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896.88 : 113,379.43 = 113,379.43 : x
  2. Step 2: Convert to fraction form
    53,896.88/113,379.43 = 113,379.43/x
  3. Step 3: Cross multiply
    53,896.88x = 113,379.43 × 113,379.43
  4. Step 4: Simplify right side
    53,896.88x = 12,854,895,962.04
  5. Step 5: Solve for x
    x = 12,854,895,962.04/53,896.88
  6. Step 6: Final answer
    x = 238,509.10

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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.