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Finding the Third Proportional to 90,401.70 and 196,875.56

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Solution

The third proportional to 90,401.70 and 196,875.56 is: 428,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,401.70 : 196,875.56 = 196,875.56 : x
  2. Step 2: Convert to fraction form
    90,401.70/196,875.56 = 196,875.56/x
  3. Step 3: Cross multiply
    90,401.70x = 196,875.56 × 196,875.56
  4. Step 4: Simplify right side
    90,401.70x = 38,759,987,109.69
  5. Step 5: Solve for x
    x = 38,759,987,109.69/90,401.70
  6. Step 6: Final answer
    x = 428,752.88

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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.