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Finding the Third Proportional to 90,677 and 197,485

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Solution

The third proportional to 90,677 and 197,485 is: 430,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,677 : 197,485 = 197,485 : x
  2. Step 2: Convert to fraction form
    90,677/197,485 = 197,485/x
  3. Step 3: Cross multiply
    90,677x = 197,485 × 197,485
  4. Step 4: Simplify right side
    90,677x = 39,000,325,225
  5. Step 5: Solve for x
    x = 39,000,325,225/90,677
  6. Step 6: Final answer
    x = 430,101.63

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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.