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Finding the Third Proportional to 43,098 and 91,413

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Solution

The third proportional to 43,098 and 91,413 is: 193,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098 : 91,413 = 91,413 : x
  2. Step 2: Convert to fraction form
    43,098/91,413 = 91,413/x
  3. Step 3: Cross multiply
    43,098x = 91,413 × 91,413
  4. Step 4: Simplify right side
    43,098x = 8,356,336,569
  5. Step 5: Solve for x
    x = 8,356,336,569/43,098
  6. Step 6: Final answer
    x = 193,891.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.