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Finding the Third Proportional to 99,650.25 and 214,953.75

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Solution

The third proportional to 99,650.25 and 214,953.75 is: 463,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,650.25 : 214,953.75 = 214,953.75 : x
  2. Step 2: Convert to fraction form
    99,650.25/214,953.75 = 214,953.75/x
  3. Step 3: Cross multiply
    99,650.25x = 214,953.75 × 214,953.75
  4. Step 4: Simplify right side
    99,650.25x = 46,205,114,639.06
  5. Step 5: Solve for x
    x = 46,205,114,639.06/99,650.25
  6. Step 6: Final answer
    x = 463,672.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.