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Finding the Third Proportional to 96,550 and 207,629

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Solution

The third proportional to 96,550 and 207,629 is: 446,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,550 : 207,629 = 207,629 : x
  2. Step 2: Convert to fraction form
    96,550/207,629 = 207,629/x
  3. Step 3: Cross multiply
    96,550x = 207,629 × 207,629
  4. Step 4: Simplify right side
    96,550x = 43,109,801,641
  5. Step 5: Solve for x
    x = 43,109,801,641/96,550
  6. Step 6: Final answer
    x = 446,502.35

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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.