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Finding the Third Proportional to 43,222 and 92,432

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Solution

The third proportional to 43,222 and 92,432 is: 197,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,222 : 92,432 = 92,432 : x
  2. Step 2: Convert to fraction form
    43,222/92,432 = 92,432/x
  3. Step 3: Cross multiply
    43,222x = 92,432 × 92,432
  4. Step 4: Simplify right side
    43,222x = 8,543,674,624
  5. Step 5: Solve for x
    x = 8,543,674,624/43,222
  6. Step 6: Final answer
    x = 197,669.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.