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Finding the Third Proportional to 96,730.88 and 149,469.75

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Solution

The third proportional to 96,730.88 and 149,469.75 is: 230,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,730.88 : 149,469.75 = 149,469.75 : x
  2. Step 2: Convert to fraction form
    96,730.88/149,469.75 = 149,469.75/x
  3. Step 3: Cross multiply
    96,730.88x = 149,469.75 × 149,469.75
  4. Step 4: Simplify right side
    96,730.88x = 22,341,206,165.06
  5. Step 5: Solve for x
    x = 22,341,206,165.06/96,730.88
  6. Step 6: Final answer
    x = 230,962.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.