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Finding the Third Proportional to 98,403 and 203,808

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Solution

The third proportional to 98,403 and 203,808 is: 422,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,403 : 203,808 = 203,808 : x
  2. Step 2: Convert to fraction form
    98,403/203,808 = 203,808/x
  3. Step 3: Cross multiply
    98,403x = 203,808 × 203,808
  4. Step 4: Simplify right side
    98,403x = 41,537,700,864
  5. Step 5: Solve for x
    x = 41,537,700,864/98,403
  6. Step 6: Final answer
    x = 422,118.24

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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.