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Finding the Third Proportional to 90,424 and 197,044

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Solution

The third proportional to 90,424 and 197,044 is: 429,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,424 : 197,044 = 197,044 : x
  2. Step 2: Convert to fraction form
    90,424/197,044 = 197,044/x
  3. Step 3: Cross multiply
    90,424x = 197,044 × 197,044
  4. Step 4: Simplify right side
    90,424x = 38,826,337,936
  5. Step 5: Solve for x
    x = 38,826,337,936/90,424
  6. Step 6: Final answer
    x = 429,380.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.