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Finding the Third Proportional to 96,921.56 and 209,410.31

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Solution

The third proportional to 96,921.56 and 209,410.31 is: 452,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,921.56 : 209,410.31 = 209,410.31 : x
  2. Step 2: Convert to fraction form
    96,921.56/209,410.31 = 209,410.31/x
  3. Step 3: Cross multiply
    96,921.56x = 209,410.31 × 209,410.31
  4. Step 4: Simplify right side
    96,921.56x = 43,852,678,981.35
  5. Step 5: Solve for x
    x = 43,852,678,981.35/96,921.56
  6. Step 6: Final answer
    x = 452,455.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.