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Finding the Third Proportional to 97,516 and 209,828

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Solution

The third proportional to 97,516 and 209,828 is: 451,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,516 : 209,828 = 209,828 : x
  2. Step 2: Convert to fraction form
    97,516/209,828 = 209,828/x
  3. Step 3: Cross multiply
    97,516x = 209,828 × 209,828
  4. Step 4: Simplify right side
    97,516x = 44,027,789,584
  5. Step 5: Solve for x
    x = 44,027,789,584/97,516
  6. Step 6: Final answer
    x = 451,492.98

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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.