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Finding the Third Proportional to 99,265.50 and 148,640.06

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Solution

The third proportional to 99,265.50 and 148,640.06 is: 222,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,265.50 : 148,640.06 = 148,640.06 : x
  2. Step 2: Convert to fraction form
    99,265.50/148,640.06 = 148,640.06/x
  3. Step 3: Cross multiply
    99,265.50x = 148,640.06 × 148,640.06
  4. Step 4: Simplify right side
    99,265.50x = 22,093,868,180.00
  5. Step 5: Solve for x
    x = 22,093,868,180.00/99,265.50
  6. Step 6: Final answer
    x = 222,573.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.