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Finding the Third Proportional to 53,899.88 and 111,256.88

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Solution

The third proportional to 53,899.88 and 111,256.88 is: 229,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,899.88 : 111,256.88 = 111,256.88 : x
  2. Step 2: Convert to fraction form
    53,899.88/111,256.88 = 111,256.88/x
  3. Step 3: Cross multiply
    53,899.88x = 111,256.88 × 111,256.88
  4. Step 4: Simplify right side
    53,899.88x = 12,378,092,234.77
  5. Step 5: Solve for x
    x = 12,378,092,234.77/53,899.88
  6. Step 6: Final answer
    x = 229,649.74

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.