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Finding the Third Proportional to 94,632 and 199,929

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Solution

The third proportional to 94,632 and 199,929 is: 422,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,632 : 199,929 = 199,929 : x
  2. Step 2: Convert to fraction form
    94,632/199,929 = 199,929/x
  3. Step 3: Cross multiply
    94,632x = 199,929 × 199,929
  4. Step 4: Simplify right side
    94,632x = 39,971,605,041
  5. Step 5: Solve for x
    x = 39,971,605,041/94,632
  6. Step 6: Final answer
    x = 422,389.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.