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Finding the Third Proportional to 66,933.84 and 140,770.41

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Solution

The third proportional to 66,933.84 and 140,770.41 is: 296,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,933.84 : 140,770.41 = 140,770.41 : x
  2. Step 2: Convert to fraction form
    66,933.84/140,770.41 = 140,770.41/x
  3. Step 3: Cross multiply
    66,933.84x = 140,770.41 × 140,770.41
  4. Step 4: Simplify right side
    66,933.84x = 19,816,307,275.79
  5. Step 5: Solve for x
    x = 19,816,307,275.79/66,933.84
  6. Step 6: Final answer
    x = 296,058.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.