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Finding the Third Proportional to 98,745.75 and 213,013.13

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Solution

The third proportional to 98,745.75 and 213,013.13 is: 459,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,745.75 : 213,013.13 = 213,013.13 : x
  2. Step 2: Convert to fraction form
    98,745.75/213,013.13 = 213,013.13/x
  3. Step 3: Cross multiply
    98,745.75x = 213,013.13 × 213,013.13
  4. Step 4: Simplify right side
    98,745.75x = 45,374,591,422.27
  5. Step 5: Solve for x
    x = 45,374,591,422.27/98,745.75
  6. Step 6: Final answer
    x = 459,509.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.