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Finding the Third Proportional to 196,938 and 421,899.75

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Solution

The third proportional to 196,938 and 421,899.75 is: 903,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,938 : 421,899.75 = 421,899.75 : x
  2. Step 2: Convert to fraction form
    196,938/421,899.75 = 421,899.75/x
  3. Step 3: Cross multiply
    196,938x = 421,899.75 × 421,899.75
  4. Step 4: Simplify right side
    196,938x = 177,999,399,050.06
  5. Step 5: Solve for x
    x = 177,999,399,050.06/196,938
  6. Step 6: Final answer
    x = 903,834.70

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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.