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Finding the Third Proportional to 77,883.56 and 170,182.31

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Solution

The third proportional to 77,883.56 and 170,182.31 is: 371,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,883.56 : 170,182.31 = 170,182.31 : x
  2. Step 2: Convert to fraction form
    77,883.56/170,182.31 = 170,182.31/x
  3. Step 3: Cross multiply
    77,883.56x = 170,182.31 × 170,182.31
  4. Step 4: Simplify right side
    77,883.56x = 28,962,019,487.85
  5. Step 5: Solve for x
    x = 28,962,019,487.85/77,883.56
  6. Step 6: Final answer
    x = 371,863.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.