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Finding the Third Proportional to 88,418 and 193,329

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Solution

The third proportional to 88,418 and 193,329 is: 422,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,418 : 193,329 = 193,329 : x
  2. Step 2: Convert to fraction form
    88,418/193,329 = 193,329/x
  3. Step 3: Cross multiply
    88,418x = 193,329 × 193,329
  4. Step 4: Simplify right side
    88,418x = 37,376,102,241
  5. Step 5: Solve for x
    x = 37,376,102,241/88,418
  6. Step 6: Final answer
    x = 422,720.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.