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Finding the Third Proportional to 96,804.74 and 209,698.28

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Solution

The third proportional to 96,804.74 and 209,698.28 is: 454,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,804.74 : 209,698.28 = 209,698.28 : x
  2. Step 2: Convert to fraction form
    96,804.74/209,698.28 = 209,698.28/x
  3. Step 3: Cross multiply
    96,804.74x = 209,698.28 × 209,698.28
  4. Step 4: Simplify right side
    96,804.74x = 43,973,367,520.94
  5. Step 5: Solve for x
    x = 43,973,367,520.94/96,804.74
  6. Step 6: Final answer
    x = 454,248.09

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