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Finding the Third Proportional to 45,950 and 99,432

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Solution

The third proportional to 45,950 and 99,432 is: 215,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,950 : 99,432 = 99,432 : x
  2. Step 2: Convert to fraction form
    45,950/99,432 = 99,432/x
  3. Step 3: Cross multiply
    45,950x = 99,432 × 99,432
  4. Step 4: Simplify right side
    45,950x = 9,886,722,624
  5. Step 5: Solve for x
    x = 9,886,722,624/45,950
  6. Step 6: Final answer
    x = 215,162.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.