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Finding the Third Proportional to 98,455.50 and 145,604.25

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Solution

The third proportional to 98,455.50 and 145,604.25 is: 215,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,455.50 : 145,604.25 = 145,604.25 : x
  2. Step 2: Convert to fraction form
    98,455.50/145,604.25 = 145,604.25/x
  3. Step 3: Cross multiply
    98,455.50x = 145,604.25 × 145,604.25
  4. Step 4: Simplify right side
    98,455.50x = 21,200,597,618.06
  5. Step 5: Solve for x
    x = 21,200,597,618.06/98,455.50
  6. Step 6: Final answer
    x = 215,331.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.