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Finding the Third Proportional to 89,793.56 and 194,526.56

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Solution

The third proportional to 89,793.56 and 194,526.56 is: 421,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,793.56 : 194,526.56 = 194,526.56 : x
  2. Step 2: Convert to fraction form
    89,793.56/194,526.56 = 194,526.56/x
  3. Step 3: Cross multiply
    89,793.56x = 194,526.56 × 194,526.56
  4. Step 4: Simplify right side
    89,793.56x = 37,840,583,518.07
  5. Step 5: Solve for x
    x = 37,840,583,518.07/89,793.56
  6. Step 6: Final answer
    x = 421,417.55

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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.