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Finding the Third Proportional to 89,474.25 and 194,693.25

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Solution

The third proportional to 89,474.25 and 194,693.25 is: 423,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,474.25 : 194,693.25 = 194,693.25 : x
  2. Step 2: Convert to fraction form
    89,474.25/194,693.25 = 194,693.25/x
  3. Step 3: Cross multiply
    89,474.25x = 194,693.25 × 194,693.25
  4. Step 4: Simplify right side
    89,474.25x = 37,905,461,595.56
  5. Step 5: Solve for x
    x = 37,905,461,595.56/89,474.25
  6. Step 6: Final answer
    x = 423,646.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.