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Finding the Third Proportional to 53,910.38 and 116,983.88

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Solution

The third proportional to 53,910.38 and 116,983.88 is: 253,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,910.38 : 116,983.88 = 116,983.88 : x
  2. Step 2: Convert to fraction form
    53,910.38/116,983.88 = 116,983.88/x
  3. Step 3: Cross multiply
    53,910.38x = 116,983.88 × 116,983.88
  4. Step 4: Simplify right side
    53,910.38x = 13,685,227,010.02
  5. Step 5: Solve for x
    x = 13,685,227,010.02/53,910.38
  6. Step 6: Final answer
    x = 253,851.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.