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Finding the Third Proportional to 100,517.63 and 209,304

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Solution

The third proportional to 100,517.63 and 209,304 is: 435,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,517.63 : 209,304 = 209,304 : x
  2. Step 2: Convert to fraction form
    100,517.63/209,304 = 209,304/x
  3. Step 3: Cross multiply
    100,517.63x = 209,304 × 209,304
  4. Step 4: Simplify right side
    100,517.63x = 43,808,164,416
  5. Step 5: Solve for x
    x = 43,808,164,416/100,517.63
  6. Step 6: Final answer
    x = 435,825.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.