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Finding the Third Proportional to 90,972.56 and 197,407.69

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Solution

The third proportional to 90,972.56 and 197,407.69 is: 428,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,972.56 : 197,407.69 = 197,407.69 : x
  2. Step 2: Convert to fraction form
    90,972.56/197,407.69 = 197,407.69/x
  3. Step 3: Cross multiply
    90,972.56x = 197,407.69 × 197,407.69
  4. Step 4: Simplify right side
    90,972.56x = 38,969,795,084.10
  5. Step 5: Solve for x
    x = 38,969,795,084.10/90,972.56
  6. Step 6: Final answer
    x = 428,368.66

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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.