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Finding the Third Proportional to 96,695.44 and 207,673.88

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Solution

The third proportional to 96,695.44 and 207,673.88 is: 446,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,695.44 : 207,673.88 = 207,673.88 : x
  2. Step 2: Convert to fraction form
    96,695.44/207,673.88 = 207,673.88/x
  3. Step 3: Cross multiply
    96,695.44x = 207,673.88 × 207,673.88
  4. Step 4: Simplify right side
    96,695.44x = 43,128,438,357.52
  5. Step 5: Solve for x
    x = 43,128,438,357.52/96,695.44
  6. Step 6: Final answer
    x = 446,023.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.