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Finding the Third Proportional to 97,235 and 213,478

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Solution

The third proportional to 97,235 and 213,478 is: 468,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,235 : 213,478 = 213,478 : x
  2. Step 2: Convert to fraction form
    97,235/213,478 = 213,478/x
  3. Step 3: Cross multiply
    97,235x = 213,478 × 213,478
  4. Step 4: Simplify right side
    97,235x = 45,572,856,484
  5. Step 5: Solve for x
    x = 45,572,856,484/97,235
  6. Step 6: Final answer
    x = 468,687.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.