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Finding the Third Proportional to 98,890.50 and 212,082.38

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Solution

The third proportional to 98,890.50 and 212,082.38 is: 454,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,890.50 : 212,082.38 = 212,082.38 : x
  2. Step 2: Convert to fraction form
    98,890.50/212,082.38 = 212,082.38/x
  3. Step 3: Cross multiply
    98,890.50x = 212,082.38 × 212,082.38
  4. Step 4: Simplify right side
    98,890.50x = 44,978,933,785.64
  5. Step 5: Solve for x
    x = 44,978,933,785.64/98,890.50
  6. Step 6: Final answer
    x = 454,835.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.