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Finding the Third Proportional to 97,300 and 209,610

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Solution

The third proportional to 97,300 and 209,610 is: 451,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,300 : 209,610 = 209,610 : x
  2. Step 2: Convert to fraction form
    97,300/209,610 = 209,610/x
  3. Step 3: Cross multiply
    97,300x = 209,610 × 209,610
  4. Step 4: Simplify right side
    97,300x = 43,936,352,100
  5. Step 5: Solve for x
    x = 43,936,352,100/97,300
  6. Step 6: Final answer
    x = 451,555.52

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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.