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Finding the Third Proportional to 98,539.73 and 216,154.97

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Solution

The third proportional to 98,539.73 and 216,154.97 is: 474,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539.73 : 216,154.97 = 216,154.97 : x
  2. Step 2: Convert to fraction form
    98,539.73/216,154.97 = 216,154.97/x
  3. Step 3: Cross multiply
    98,539.73x = 216,154.97 × 216,154.97
  4. Step 4: Simplify right side
    98,539.73x = 46,722,970,515.31
  5. Step 5: Solve for x
    x = 46,722,970,515.31/98,539.73
  6. Step 6: Final answer
    x = 474,153.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.