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Finding the Third Proportional to 95,202 and 209,090

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Solution

The third proportional to 95,202 and 209,090 is: 459,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,202 : 209,090 = 209,090 : x
  2. Step 2: Convert to fraction form
    95,202/209,090 = 209,090/x
  3. Step 3: Cross multiply
    95,202x = 209,090 × 209,090
  4. Step 4: Simplify right side
    95,202x = 43,718,628,100
  5. Step 5: Solve for x
    x = 43,718,628,100/95,202
  6. Step 6: Final answer
    x = 459,219.64

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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.