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Finding the Third Proportional to 90,364 and 197,960

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Solution

The third proportional to 90,364 and 197,960 is: 433,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,364 : 197,960 = 197,960 : x
  2. Step 2: Convert to fraction form
    90,364/197,960 = 197,960/x
  3. Step 3: Cross multiply
    90,364x = 197,960 × 197,960
  4. Step 4: Simplify right side
    90,364x = 39,188,161,600
  5. Step 5: Solve for x
    x = 39,188,161,600/90,364
  6. Step 6: Final answer
    x = 433,670.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.