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Finding the Third Proportional to 98,397.28 and 203,795.72

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Solution

The third proportional to 98,397.28 and 203,795.72 is: 422,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,397.28 : 203,795.72 = 203,795.72 : x
  2. Step 2: Convert to fraction form
    98,397.28/203,795.72 = 203,795.72/x
  3. Step 3: Cross multiply
    98,397.28x = 203,795.72 × 203,795.72
  4. Step 4: Simplify right side
    98,397.28x = 41,532,694,980.83
  5. Step 5: Solve for x
    x = 41,532,694,980.83/98,397.28
  6. Step 6: Final answer
    x = 422,091.90

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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.