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Finding the Third Proportional to 99,196.31 and 214,074.56

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Solution

The third proportional to 99,196.31 and 214,074.56 is: 461,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,196.31 : 214,074.56 = 214,074.56 : x
  2. Step 2: Convert to fraction form
    99,196.31/214,074.56 = 214,074.56/x
  3. Step 3: Cross multiply
    99,196.31x = 214,074.56 × 214,074.56
  4. Step 4: Simplify right side
    99,196.31x = 45,827,918,309.57
  5. Step 5: Solve for x
    x = 45,827,918,309.57/99,196.31
  6. Step 6: Final answer
    x = 461,992.16

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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.