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Finding the Third Proportional to 94,023 and 195,822

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Solution

The third proportional to 94,023 and 195,822 is: 407,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,023 : 195,822 = 195,822 : x
  2. Step 2: Convert to fraction form
    94,023/195,822 = 195,822/x
  3. Step 3: Cross multiply
    94,023x = 195,822 × 195,822
  4. Step 4: Simplify right side
    94,023x = 38,346,255,684
  5. Step 5: Solve for x
    x = 38,346,255,684/94,023
  6. Step 6: Final answer
    x = 407,839.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.