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Finding the Third Proportional to 209,823.75 and 449,095.88

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Solution

The third proportional to 209,823.75 and 449,095.88 is: 961,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,823.75 : 449,095.88 = 449,095.88 : x
  2. Step 2: Convert to fraction form
    209,823.75/449,095.88 = 449,095.88/x
  3. Step 3: Cross multiply
    209,823.75x = 449,095.88 × 449,095.88
  4. Step 4: Simplify right side
    209,823.75x = 201,687,104,942.02
  5. Step 5: Solve for x
    x = 201,687,104,942.02/209,823.75
  6. Step 6: Final answer
    x = 961,221.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.