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Finding the Third Proportional to 88,868.50 and 194,958

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Solution

The third proportional to 88,868.50 and 194,958 is: 427,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,868.50 : 194,958 = 194,958 : x
  2. Step 2: Convert to fraction form
    88,868.50/194,958 = 194,958/x
  3. Step 3: Cross multiply
    88,868.50x = 194,958 × 194,958
  4. Step 4: Simplify right side
    88,868.50x = 38,008,621,764
  5. Step 5: Solve for x
    x = 38,008,621,764/88,868.50
  6. Step 6: Final answer
    x = 427,695.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.