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Finding the Third Proportional to 97,540 and 209,628

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Solution

The third proportional to 97,540 and 209,628 is: 450,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,540 : 209,628 = 209,628 : x
  2. Step 2: Convert to fraction form
    97,540/209,628 = 209,628/x
  3. Step 3: Cross multiply
    97,540x = 209,628 × 209,628
  4. Step 4: Simplify right side
    97,540x = 43,943,898,384
  5. Step 5: Solve for x
    x = 43,943,898,384/97,540
  6. Step 6: Final answer
    x = 450,521.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.