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Finding the Third Proportional to 70,329.94 and 149,885.44

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Solution

The third proportional to 70,329.94 and 149,885.44 is: 319,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,329.94 : 149,885.44 = 149,885.44 : x
  2. Step 2: Convert to fraction form
    70,329.94/149,885.44 = 149,885.44/x
  3. Step 3: Cross multiply
    70,329.94x = 149,885.44 × 149,885.44
  4. Step 4: Simplify right side
    70,329.94x = 22,465,644,374.57
  5. Step 5: Solve for x
    x = 22,465,644,374.57/70,329.94
  6. Step 6: Final answer
    x = 319,432.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.