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Finding the Third Proportional to 99,554.25 and 214,943.25

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Solution

The third proportional to 99,554.25 and 214,943.25 is: 464,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,554.25 : 214,943.25 = 214,943.25 : x
  2. Step 2: Convert to fraction form
    99,554.25/214,943.25 = 214,943.25/x
  3. Step 3: Cross multiply
    99,554.25x = 214,943.25 × 214,943.25
  4. Step 4: Simplify right side
    99,554.25x = 46,200,600,720.56
  5. Step 5: Solve for x
    x = 46,200,600,720.56/99,554.25
  6. Step 6: Final answer
    x = 464,074.62

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Why These Related Problems?

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