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Finding the Third Proportional to 66,766.50 and 101,833.88

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Solution

The third proportional to 66,766.50 and 101,833.88 is: 155,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,766.50 : 101,833.88 = 101,833.88 : x
  2. Step 2: Convert to fraction form
    66,766.50/101,833.88 = 101,833.88/x
  3. Step 3: Cross multiply
    66,766.50x = 101,833.88 × 101,833.88
  4. Step 4: Simplify right side
    66,766.50x = 10,370,138,097.52
  5. Step 5: Solve for x
    x = 10,370,138,097.52/66,766.50
  6. Step 6: Final answer
    x = 155,319.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.