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Finding the Third Proportional to 97,172 and 209,656

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Solution

The third proportional to 97,172 and 209,656 is: 452,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,172 : 209,656 = 209,656 : x
  2. Step 2: Convert to fraction form
    97,172/209,656 = 209,656/x
  3. Step 3: Cross multiply
    97,172x = 209,656 × 209,656
  4. Step 4: Simplify right side
    97,172x = 43,955,638,336
  5. Step 5: Solve for x
    x = 43,955,638,336/97,172
  6. Step 6: Final answer
    x = 452,348.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.