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Finding the Third Proportional to 96,162.94 and 209,258.06

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Solution

The third proportional to 96,162.94 and 209,258.06 is: 455,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,162.94 : 209,258.06 = 209,258.06 : x
  2. Step 2: Convert to fraction form
    96,162.94/209,258.06 = 209,258.06/x
  3. Step 3: Cross multiply
    96,162.94x = 209,258.06 × 209,258.06
  4. Step 4: Simplify right side
    96,162.94x = 43,788,936,721.25
  5. Step 5: Solve for x
    x = 43,788,936,721.25/96,162.94
  6. Step 6: Final answer
    x = 455,361.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.