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Finding the Third Proportional to 99,924.75 and 217,473.75

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Solution

The third proportional to 99,924.75 and 217,473.75 is: 473,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,924.75 : 217,473.75 = 217,473.75 : x
  2. Step 2: Convert to fraction form
    99,924.75/217,473.75 = 217,473.75/x
  3. Step 3: Cross multiply
    99,924.75x = 217,473.75 × 217,473.75
  4. Step 4: Simplify right side
    99,924.75x = 47,294,831,939.06
  5. Step 5: Solve for x
    x = 47,294,831,939.06/99,924.75
  6. Step 6: Final answer
    x = 473,304.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.