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Finding the Third Proportional to 99,240.75 and 218,164.50

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Solution

The third proportional to 99,240.75 and 218,164.50 is: 479,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,240.75 : 218,164.50 = 218,164.50 : x
  2. Step 2: Convert to fraction form
    99,240.75/218,164.50 = 218,164.50/x
  3. Step 3: Cross multiply
    99,240.75x = 218,164.50 × 218,164.50
  4. Step 4: Simplify right side
    99,240.75x = 47,595,749,060.25
  5. Step 5: Solve for x
    x = 47,595,749,060.25/99,240.75
  6. Step 6: Final answer
    x = 479,598.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.