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Finding the Third Proportional to 98,387.25 and 217,447.88

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Solution

The third proportional to 98,387.25 and 217,447.88 is: 480,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,387.25 : 217,447.88 = 217,447.88 : x
  2. Step 2: Convert to fraction form
    98,387.25/217,447.88 = 217,447.88/x
  3. Step 3: Cross multiply
    98,387.25x = 217,447.88 × 217,447.88
  4. Step 4: Simplify right side
    98,387.25x = 47,283,578,342.02
  5. Step 5: Solve for x
    x = 47,283,578,342.02/98,387.25
  6. Step 6: Final answer
    x = 480,586.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.