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Finding the Third Proportional to 98,398.13 and 203,797.13

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Solution

The third proportional to 98,398.13 and 203,797.13 is: 422,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,398.13 : 203,797.13 = 203,797.13 : x
  2. Step 2: Convert to fraction form
    98,398.13/203,797.13 = 203,797.13/x
  3. Step 3: Cross multiply
    98,398.13x = 203,797.13 × 203,797.13
  4. Step 4: Simplify right side
    98,398.13x = 41,533,268,158.27
  5. Step 5: Solve for x
    x = 41,533,268,158.27/98,398.13
  6. Step 6: Final answer
    x = 422,094.10

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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.