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Finding the Third Proportional to 97,688 and 209,200

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Solution

The third proportional to 97,688 and 209,200 is: 448,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,688 : 209,200 = 209,200 : x
  2. Step 2: Convert to fraction form
    97,688/209,200 = 209,200/x
  3. Step 3: Cross multiply
    97,688x = 209,200 × 209,200
  4. Step 4: Simplify right side
    97,688x = 43,764,640,000
  5. Step 5: Solve for x
    x = 43,764,640,000/97,688
  6. Step 6: Final answer
    x = 448,004.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.