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Finding the Third Proportional to 90,887.06 and 194,145.19

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Solution

The third proportional to 90,887.06 and 194,145.19 is: 414,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,887.06 : 194,145.19 = 194,145.19 : x
  2. Step 2: Convert to fraction form
    90,887.06/194,145.19 = 194,145.19/x
  3. Step 3: Cross multiply
    90,887.06x = 194,145.19 × 194,145.19
  4. Step 4: Simplify right side
    90,887.06x = 37,692,353,829.41
  5. Step 5: Solve for x
    x = 37,692,353,829.41/90,887.06
  6. Step 6: Final answer
    x = 414,716.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.