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Finding the Third Proportional to 97,474 and 213,566

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Solution

The third proportional to 97,474 and 213,566 is: 467,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,474 : 213,566 = 213,566 : x
  2. Step 2: Convert to fraction form
    97,474/213,566 = 213,566/x
  3. Step 3: Cross multiply
    97,474x = 213,566 × 213,566
  4. Step 4: Simplify right side
    97,474x = 45,610,436,356
  5. Step 5: Solve for x
    x = 45,610,436,356/97,474
  6. Step 6: Final answer
    x = 467,924.13

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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.