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Finding the Third Proportional to 98,530.88 and 216,744.75

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Solution

The third proportional to 98,530.88 and 216,744.75 is: 476,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,530.88 : 216,744.75 = 216,744.75 : x
  2. Step 2: Convert to fraction form
    98,530.88/216,744.75 = 216,744.75/x
  3. Step 3: Cross multiply
    98,530.88x = 216,744.75 × 216,744.75
  4. Step 4: Simplify right side
    98,530.88x = 46,978,286,652.56
  5. Step 5: Solve for x
    x = 46,978,286,652.56/98,530.88
  6. Step 6: Final answer
    x = 476,787.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.