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Finding the Third Proportional to 45,595.50 and 100,396.50

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Solution

The third proportional to 45,595.50 and 100,396.50 is: 221,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,595.50 : 100,396.50 = 100,396.50 : x
  2. Step 2: Convert to fraction form
    45,595.50/100,396.50 = 100,396.50/x
  3. Step 3: Cross multiply
    45,595.50x = 100,396.50 × 100,396.50
  4. Step 4: Simplify right side
    45,595.50x = 10,079,457,212.25
  5. Step 5: Solve for x
    x = 10,079,457,212.25/45,595.50
  6. Step 6: Final answer
    x = 221,062.54

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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.