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Finding the Third Proportional to 98,397.50 and 203,797

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Solution

The third proportional to 98,397.50 and 203,797 is: 422,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,397.50 : 203,797 = 203,797 : x
  2. Step 2: Convert to fraction form
    98,397.50/203,797 = 203,797/x
  3. Step 3: Cross multiply
    98,397.50x = 203,797 × 203,797
  4. Step 4: Simplify right side
    98,397.50x = 41,533,217,209
  5. Step 5: Solve for x
    x = 41,533,217,209/98,397.50
  6. Step 6: Final answer
    x = 422,096.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.