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Finding the Third Proportional to 99,923.91 and 214,092.56

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Solution

The third proportional to 99,923.91 and 214,092.56 is: 458,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,923.91 : 214,092.56 = 214,092.56 : x
  2. Step 2: Convert to fraction form
    99,923.91/214,092.56 = 214,092.56/x
  3. Step 3: Cross multiply
    99,923.91x = 214,092.56 × 214,092.56
  4. Step 4: Simplify right side
    99,923.91x = 45,835,625,317.82
  5. Step 5: Solve for x
    x = 45,835,625,317.82/99,923.91
  6. Step 6: Final answer
    x = 458,705.30

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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.