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Finding the Third Proportional to 77,766.75 and 163,833.75

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Solution

The third proportional to 77,766.75 and 163,833.75 is: 345,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,766.75 : 163,833.75 = 163,833.75 : x
  2. Step 2: Convert to fraction form
    77,766.75/163,833.75 = 163,833.75/x
  3. Step 3: Cross multiply
    77,766.75x = 163,833.75 × 163,833.75
  4. Step 4: Simplify right side
    77,766.75x = 26,841,497,639.06
  5. Step 5: Solve for x
    x = 26,841,497,639.06/77,766.75
  6. Step 6: Final answer
    x = 345,153.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.