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Finding the Third Proportional to 97,794.56 and 214,273.13

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Solution

The third proportional to 97,794.56 and 214,273.13 is: 469,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794.56 : 214,273.13 = 214,273.13 : x
  2. Step 2: Convert to fraction form
    97,794.56/214,273.13 = 214,273.13/x
  3. Step 3: Cross multiply
    97,794.56x = 214,273.13 × 214,273.13
  4. Step 4: Simplify right side
    97,794.56x = 45,912,972,097.27
  5. Step 5: Solve for x
    x = 45,912,972,097.27/97,794.56
  6. Step 6: Final answer
    x = 469,483.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.