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Finding the Third Proportional to 98,403.75 and 206,722.13

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Solution

The third proportional to 98,403.75 and 206,722.13 is: 434,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,403.75 : 206,722.13 = 206,722.13 : x
  2. Step 2: Convert to fraction form
    98,403.75/206,722.13 = 206,722.13/x
  3. Step 3: Cross multiply
    98,403.75x = 206,722.13 × 206,722.13
  4. Step 4: Simplify right side
    98,403.75x = 42,734,036,964.52
  5. Step 5: Solve for x
    x = 42,734,036,964.52/98,403.75
  6. Step 6: Final answer
    x = 434,272.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.