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Finding the Third Proportional to 95,409 and 209,533.50

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Solution

The third proportional to 95,409 and 209,533.50 is: 460,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,409 : 209,533.50 = 209,533.50 : x
  2. Step 2: Convert to fraction form
    95,409/209,533.50 = 209,533.50/x
  3. Step 3: Cross multiply
    95,409x = 209,533.50 × 209,533.50
  4. Step 4: Simplify right side
    95,409x = 43,904,287,622.25
  5. Step 5: Solve for x
    x = 43,904,287,622.25/95,409
  6. Step 6: Final answer
    x = 460,169.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.