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Finding the Third Proportional to 99,920.25 and 214,663.50

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Solution

The third proportional to 99,920.25 and 214,663.50 is: 461,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,920.25 : 214,663.50 = 214,663.50 : x
  2. Step 2: Convert to fraction form
    99,920.25/214,663.50 = 214,663.50/x
  3. Step 3: Cross multiply
    99,920.25x = 214,663.50 × 214,663.50
  4. Step 4: Simplify right side
    99,920.25x = 46,080,418,232.25
  5. Step 5: Solve for x
    x = 46,080,418,232.25/99,920.25
  6. Step 6: Final answer
    x = 461,171.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.