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Finding the Third Proportional to 66,482.44 and 99,770.34

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Solution

The third proportional to 66,482.44 and 99,770.34 is: 149,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,482.44 : 99,770.34 = 99,770.34 : x
  2. Step 2: Convert to fraction form
    66,482.44/99,770.34 = 99,770.34/x
  3. Step 3: Cross multiply
    66,482.44x = 99,770.34 × 99,770.34
  4. Step 4: Simplify right side
    66,482.44x = 9,954,121,491.99
  5. Step 5: Solve for x
    x = 9,954,121,491.99/66,482.44
  6. Step 6: Final answer
    x = 149,725.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.