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Finding the Third Proportional to 99,195.75 and 214,072.88

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Solution

The third proportional to 99,195.75 and 214,072.88 is: 461,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,195.75 : 214,072.88 = 214,072.88 : x
  2. Step 2: Convert to fraction form
    99,195.75/214,072.88 = 214,072.88/x
  3. Step 3: Cross multiply
    99,195.75x = 214,072.88 × 214,072.88
  4. Step 4: Simplify right side
    99,195.75x = 45,827,195,810.77
  5. Step 5: Solve for x
    x = 45,827,195,810.77/99,195.75
  6. Step 6: Final answer
    x = 461,987.49

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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.