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Finding the Third Proportional to 194,109.75 and 415,204.13

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Solution

The third proportional to 194,109.75 and 415,204.13 is: 888,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,109.75 : 415,204.13 = 415,204.13 : x
  2. Step 2: Convert to fraction form
    194,109.75/415,204.13 = 415,204.13/x
  3. Step 3: Cross multiply
    194,109.75x = 415,204.13 × 415,204.13
  4. Step 4: Simplify right side
    194,109.75x = 172,394,465,417.02
  5. Step 5: Solve for x
    x = 172,394,465,417.02/194,109.75
  6. Step 6: Final answer
    x = 888,128.83

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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.