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Finding the Third Proportional to 66,106.88 and 135,733.88

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Solution

The third proportional to 66,106.88 and 135,733.88 is: 278,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106.88 : 135,733.88 = 135,733.88 : x
  2. Step 2: Convert to fraction form
    66,106.88/135,733.88 = 135,733.88/x
  3. Step 3: Cross multiply
    66,106.88x = 135,733.88 × 135,733.88
  4. Step 4: Simplify right side
    66,106.88x = 18,423,684,822.52
  5. Step 5: Solve for x
    x = 18,423,684,822.52/66,106.88
  6. Step 6: Final answer
    x = 278,695.44

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.