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Finding the Third Proportional to 90,258.75 and 195,826.50

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Solution

The third proportional to 90,258.75 and 195,826.50 is: 424,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,258.75 : 195,826.50 = 195,826.50 : x
  2. Step 2: Convert to fraction form
    90,258.75/195,826.50 = 195,826.50/x
  3. Step 3: Cross multiply
    90,258.75x = 195,826.50 × 195,826.50
  4. Step 4: Simplify right side
    90,258.75x = 38,348,018,102.25
  5. Step 5: Solve for x
    x = 38,348,018,102.25/90,258.75
  6. Step 6: Final answer
    x = 424,867.60

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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.