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Finding the Third Proportional to 91,023.75 and 198,645.75

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Solution

The third proportional to 91,023.75 and 198,645.75 is: 433,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,023.75 : 198,645.75 = 198,645.75 : x
  2. Step 2: Convert to fraction form
    91,023.75/198,645.75 = 198,645.75/x
  3. Step 3: Cross multiply
    91,023.75x = 198,645.75 × 198,645.75
  4. Step 4: Simplify right side
    91,023.75x = 39,460,133,993.06
  5. Step 5: Solve for x
    x = 39,460,133,993.06/91,023.75
  6. Step 6: Final answer
    x = 433,514.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.