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Finding the Third Proportional to 90,927 and 197,592.56

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Solution

The third proportional to 90,927 and 197,592.56 is: 429,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,927 : 197,592.56 = 197,592.56 : x
  2. Step 2: Convert to fraction form
    90,927/197,592.56 = 197,592.56/x
  3. Step 3: Cross multiply
    90,927x = 197,592.56 × 197,592.56
  4. Step 4: Simplify right side
    90,927x = 39,042,820,755.32
  5. Step 5: Solve for x
    x = 39,042,820,755.32/90,927
  6. Step 6: Final answer
    x = 429,386.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.