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Finding the Third Proportional to 56,656.97 and 110,580.19

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Solution

The third proportional to 56,656.97 and 110,580.19 is: 215,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,656.97 : 110,580.19 = 110,580.19 : x
  2. Step 2: Convert to fraction form
    56,656.97/110,580.19 = 110,580.19/x
  3. Step 3: Cross multiply
    56,656.97x = 110,580.19 × 110,580.19
  4. Step 4: Simplify right side
    56,656.97x = 12,227,977,867.54
  5. Step 5: Solve for x
    x = 12,227,977,867.54/56,656.97
  6. Step 6: Final answer
    x = 215,824.78

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.