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Finding the Third Proportional to 90,929.25 and 197,410.50

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Solution

The third proportional to 90,929.25 and 197,410.50 is: 428,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,929.25 : 197,410.50 = 197,410.50 : x
  2. Step 2: Convert to fraction form
    90,929.25/197,410.50 = 197,410.50/x
  3. Step 3: Cross multiply
    90,929.25x = 197,410.50 × 197,410.50
  4. Step 4: Simplify right side
    90,929.25x = 38,970,905,510.25
  5. Step 5: Solve for x
    x = 38,970,905,510.25/90,929.25
  6. Step 6: Final answer
    x = 428,584.92

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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.