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Finding the Third Proportional to 89,322.75 and 196,146.56

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Solution

The third proportional to 89,322.75 and 196,146.56 is: 430,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,322.75 : 196,146.56 = 196,146.56 : x
  2. Step 2: Convert to fraction form
    89,322.75/196,146.56 = 196,146.56/x
  3. Step 3: Cross multiply
    89,322.75x = 196,146.56 × 196,146.56
  4. Step 4: Simplify right side
    89,322.75x = 38,473,473,980.57
  5. Step 5: Solve for x
    x = 38,473,473,980.57/89,322.75
  6. Step 6: Final answer
    x = 430,724.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.