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Finding the Third Proportional to 97,186 and 213,396

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Solution

The third proportional to 97,186 and 213,396 is: 468,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,186 : 213,396 = 213,396 : x
  2. Step 2: Convert to fraction form
    97,186/213,396 = 213,396/x
  3. Step 3: Cross multiply
    97,186x = 213,396 × 213,396
  4. Step 4: Simplify right side
    97,186x = 45,537,852,816
  5. Step 5: Solve for x
    x = 45,537,852,816/97,186
  6. Step 6: Final answer
    x = 468,563.92

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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.