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Finding the Third Proportional to 98,900.50 and 217,969.75

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Solution

The third proportional to 98,900.50 and 217,969.75 is: 480,390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,900.50 : 217,969.75 = 217,969.75 : x
  2. Step 2: Convert to fraction form
    98,900.50/217,969.75 = 217,969.75/x
  3. Step 3: Cross multiply
    98,900.50x = 217,969.75 × 217,969.75
  4. Step 4: Simplify right side
    98,900.50x = 47,510,811,915.06
  5. Step 5: Solve for x
    x = 47,510,811,915.06/98,900.50
  6. Step 6: Final answer
    x = 480,390.01

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Why These Related Problems?

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