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Finding the Third Proportional to 97,809.75 and 214,299.56

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Solution

The third proportional to 97,809.75 and 214,299.56 is: 469,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,809.75 : 214,299.56 = 214,299.56 : x
  2. Step 2: Convert to fraction form
    97,809.75/214,299.56 = 214,299.56/x
  3. Step 3: Cross multiply
    97,809.75x = 214,299.56 × 214,299.56
  4. Step 4: Simplify right side
    97,809.75x = 45,924,302,487.69
  5. Step 5: Solve for x
    x = 45,924,302,487.69/97,809.75
  6. Step 6: Final answer
    x = 469,526.84

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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.