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Finding the Third Proportional to 99,858.50 and 217,351

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Solution

The third proportional to 99,858.50 and 217,351 is: 473,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,858.50 : 217,351 = 217,351 : x
  2. Step 2: Convert to fraction form
    99,858.50/217,351 = 217,351/x
  3. Step 3: Cross multiply
    99,858.50x = 217,351 × 217,351
  4. Step 4: Simplify right side
    99,858.50x = 47,241,457,201
  5. Step 5: Solve for x
    x = 47,241,457,201/99,858.50
  6. Step 6: Final answer
    x = 473,083.99

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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.