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Finding the Third Proportional to 97,648 and 214,057

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Solution

The third proportional to 97,648 and 214,057 is: 469,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648 : 214,057 = 214,057 : x
  2. Step 2: Convert to fraction form
    97,648/214,057 = 214,057/x
  3. Step 3: Cross multiply
    97,648x = 214,057 × 214,057
  4. Step 4: Simplify right side
    97,648x = 45,820,399,249
  5. Step 5: Solve for x
    x = 45,820,399,249/97,648
  6. Step 6: Final answer
    x = 469,240.53

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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.