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Finding the Third Proportional to 97,760 and 214,203

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Solution

The third proportional to 97,760 and 214,203 is: 469,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,760 : 214,203 = 214,203 : x
  2. Step 2: Convert to fraction form
    97,760/214,203 = 214,203/x
  3. Step 3: Cross multiply
    97,760x = 214,203 × 214,203
  4. Step 4: Simplify right side
    97,760x = 45,882,925,209
  5. Step 5: Solve for x
    x = 45,882,925,209/97,760
  6. Step 6: Final answer
    x = 469,342.52

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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.