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Finding the Third Proportional to 99,903 and 214,021.50

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Solution

The third proportional to 99,903 and 214,021.50 is: 458,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,903 : 214,021.50 = 214,021.50 : x
  2. Step 2: Convert to fraction form
    99,903/214,021.50 = 214,021.50/x
  3. Step 3: Cross multiply
    99,903x = 214,021.50 × 214,021.50
  4. Step 4: Simplify right side
    99,903x = 45,805,202,462.25
  5. Step 5: Solve for x
    x = 45,805,202,462.25/99,903
  6. Step 6: Final answer
    x = 458,496.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.