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Finding the Third Proportional to 99,288 and 146,988

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Solution

The third proportional to 99,288 and 146,988 is: 217,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,288 : 146,988 = 146,988 : x
  2. Step 2: Convert to fraction form
    99,288/146,988 = 146,988/x
  3. Step 3: Cross multiply
    99,288x = 146,988 × 146,988
  4. Step 4: Simplify right side
    99,288x = 21,605,472,144
  5. Step 5: Solve for x
    x = 21,605,472,144/99,288
  6. Step 6: Final answer
    x = 217,604.06

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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.