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Finding the Third Proportional to 98,745.07 and 212,475.85

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Solution

The third proportional to 98,745.07 and 212,475.85 is: 457,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,745.07 : 212,475.85 = 212,475.85 : x
  2. Step 2: Convert to fraction form
    98,745.07/212,475.85 = 212,475.85/x
  3. Step 3: Cross multiply
    98,745.07x = 212,475.85 × 212,475.85
  4. Step 4: Simplify right side
    98,745.07x = 45,145,985,383.34
  5. Step 5: Solve for x
    x = 45,145,985,383.34/98,745.07
  6. Step 6: Final answer
    x = 457,197.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.