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Finding the Third Proportional to 90,582.75 and 196,747.88

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Solution

The third proportional to 90,582.75 and 196,747.88 is: 427,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,582.75 : 196,747.88 = 196,747.88 : x
  2. Step 2: Convert to fraction form
    90,582.75/196,747.88 = 196,747.88/x
  3. Step 3: Cross multiply
    90,582.75x = 196,747.88 × 196,747.88
  4. Step 4: Simplify right side
    90,582.75x = 38,709,726,317.02
  5. Step 5: Solve for x
    x = 38,709,726,317.02/90,582.75
  6. Step 6: Final answer
    x = 427,341.04

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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.