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Finding the Third Proportional to 99,932 and 148,384

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Solution

The third proportional to 99,932 and 148,384 is: 220,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,932 : 148,384 = 148,384 : x
  2. Step 2: Convert to fraction form
    99,932/148,384 = 148,384/x
  3. Step 3: Cross multiply
    99,932x = 148,384 × 148,384
  4. Step 4: Simplify right side
    99,932x = 22,017,811,456
  5. Step 5: Solve for x
    x = 22,017,811,456/99,932
  6. Step 6: Final answer
    x = 220,327.94

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.