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Finding the Third Proportional to 96,129.28 and 210,350.67

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Solution

The third proportional to 96,129.28 and 210,350.67 is: 460,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,129.28 : 210,350.67 = 210,350.67 : x
  2. Step 2: Convert to fraction form
    96,129.28/210,350.67 = 210,350.67/x
  3. Step 3: Cross multiply
    96,129.28x = 210,350.67 × 210,350.67
  4. Step 4: Simplify right side
    96,129.28x = 44,247,405,158.26
  5. Step 5: Solve for x
    x = 44,247,405,158.26/96,129.28
  6. Step 6: Final answer
    x = 460,290.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.