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Finding the Third Proportional to 96,516.86 and 146,743.11

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Solution

The third proportional to 96,516.86 and 146,743.11 is: 223,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,516.86 : 146,743.11 = 146,743.11 : x
  2. Step 2: Convert to fraction form
    96,516.86/146,743.11 = 146,743.11/x
  3. Step 3: Cross multiply
    96,516.86x = 146,743.11 × 146,743.11
  4. Step 4: Simplify right side
    96,516.86x = 21,533,539,790.78
  5. Step 5: Solve for x
    x = 21,533,539,790.78/96,516.86
  6. Step 6: Final answer
    x = 223,106.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.