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Finding the Third Proportional to 96,852.38 and 209,788.31

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Solution

The third proportional to 96,852.38 and 209,788.31 is: 454,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,852.38 : 209,788.31 = 209,788.31 : x
  2. Step 2: Convert to fraction form
    96,852.38/209,788.31 = 209,788.31/x
  3. Step 3: Cross multiply
    96,852.38x = 209,788.31 × 209,788.31
  4. Step 4: Simplify right side
    96,852.38x = 44,011,136,061.60
  5. Step 5: Solve for x
    x = 44,011,136,061.60/96,852.38
  6. Step 6: Final answer
    x = 454,414.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.