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Finding the Third Proportional to 77,883.19 and 170,182.69

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Solution

The third proportional to 77,883.19 and 170,182.69 is: 371,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,883.19 : 170,182.69 = 170,182.69 : x
  2. Step 2: Convert to fraction form
    77,883.19/170,182.69 = 170,182.69/x
  3. Step 3: Cross multiply
    77,883.19x = 170,182.69 × 170,182.69
  4. Step 4: Simplify right side
    77,883.19x = 28,962,147,124.72
  5. Step 5: Solve for x
    x = 28,962,147,124.72/77,883.19
  6. Step 6: Final answer
    x = 371,866.48

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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.