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Finding the Third Proportional to 91,501.88 and 198,276.75

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Solution

The third proportional to 91,501.88 and 198,276.75 is: 429,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,501.88 : 198,276.75 = 198,276.75 : x
  2. Step 2: Convert to fraction form
    91,501.88/198,276.75 = 198,276.75/x
  3. Step 3: Cross multiply
    91,501.88x = 198,276.75 × 198,276.75
  4. Step 4: Simplify right side
    91,501.88x = 39,313,669,590.56
  5. Step 5: Solve for x
    x = 39,313,669,590.56/91,501.88
  6. Step 6: Final answer
    x = 429,648.79

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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.