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Finding the Third Proportional to 88,780.50 and 188,577

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Solution

The third proportional to 88,780.50 and 188,577 is: 400,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,780.50 : 188,577 = 188,577 : x
  2. Step 2: Convert to fraction form
    88,780.50/188,577 = 188,577/x
  3. Step 3: Cross multiply
    88,780.50x = 188,577 × 188,577
  4. Step 4: Simplify right side
    88,780.50x = 35,561,284,929
  5. Step 5: Solve for x
    x = 35,561,284,929/88,780.50
  6. Step 6: Final answer
    x = 400,552.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.