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Finding the Third Proportional to 90,400.50 and 196,657.50

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Solution

The third proportional to 90,400.50 and 196,657.50 is: 427,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,400.50 : 196,657.50 = 196,657.50 : x
  2. Step 2: Convert to fraction form
    90,400.50/196,657.50 = 196,657.50/x
  3. Step 3: Cross multiply
    90,400.50x = 196,657.50 × 196,657.50
  4. Step 4: Simplify right side
    90,400.50x = 38,674,172,306.25
  5. Step 5: Solve for x
    x = 38,674,172,306.25/90,400.50
  6. Step 6: Final answer
    x = 427,809.27

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Why These Related Problems?

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