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Finding the Third Proportional to 96,801.50 and 207,609

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Solution

The third proportional to 96,801.50 and 207,609 is: 445,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,801.50 : 207,609 = 207,609 : x
  2. Step 2: Convert to fraction form
    96,801.50/207,609 = 207,609/x
  3. Step 3: Cross multiply
    96,801.50x = 207,609 × 207,609
  4. Step 4: Simplify right side
    96,801.50x = 43,101,496,881
  5. Step 5: Solve for x
    x = 43,101,496,881/96,801.50
  6. Step 6: Final answer
    x = 445,256.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.