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Finding the Third Proportional to 90,258.19 and 193,325.63

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Solution

The third proportional to 90,258.19 and 193,325.63 is: 414,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,258.19 : 193,325.63 = 193,325.63 : x
  2. Step 2: Convert to fraction form
    90,258.19/193,325.63 = 193,325.63/x
  3. Step 3: Cross multiply
    90,258.19x = 193,325.63 × 193,325.63
  4. Step 4: Simplify right side
    90,258.19x = 37,374,797,281.64
  5. Step 5: Solve for x
    x = 37,374,797,281.64/90,258.19
  6. Step 6: Final answer
    x = 414,087.61

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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.