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Finding the Third Proportional to 90,517.50 and 196,587

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Solution

The third proportional to 90,517.50 and 196,587 is: 426,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,517.50 : 196,587 = 196,587 : x
  2. Step 2: Convert to fraction form
    90,517.50/196,587 = 196,587/x
  3. Step 3: Cross multiply
    90,517.50x = 196,587 × 196,587
  4. Step 4: Simplify right side
    90,517.50x = 38,646,448,569
  5. Step 5: Solve for x
    x = 38,646,448,569/90,517.50
  6. Step 6: Final answer
    x = 426,950.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.