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Finding the Third Proportional to 97,627 and 213,154

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Solution

The third proportional to 97,627 and 213,154 is: 465,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,627 : 213,154 = 213,154 : x
  2. Step 2: Convert to fraction form
    97,627/213,154 = 213,154/x
  3. Step 3: Cross multiply
    97,627x = 213,154 × 213,154
  4. Step 4: Simplify right side
    97,627x = 45,434,627,716
  5. Step 5: Solve for x
    x = 45,434,627,716/97,627
  6. Step 6: Final answer
    x = 465,389.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.