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Finding the Third Proportional to 97,469 and 213,553

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Solution

The third proportional to 97,469 and 213,553 is: 467,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,469 : 213,553 = 213,553 : x
  2. Step 2: Convert to fraction form
    97,469/213,553 = 213,553/x
  3. Step 3: Cross multiply
    97,469x = 213,553 × 213,553
  4. Step 4: Simplify right side
    97,469x = 45,604,883,809
  5. Step 5: Solve for x
    x = 45,604,883,809/97,469
  6. Step 6: Final answer
    x = 467,891.16

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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.