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Finding the Third Proportional to 95,474.81 and 209,296.13

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Solution

The third proportional to 95,474.81 and 209,296.13 is: 458,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,474.81 : 209,296.13 = 209,296.13 : x
  2. Step 2: Convert to fraction form
    95,474.81/209,296.13 = 209,296.13/x
  3. Step 3: Cross multiply
    95,474.81x = 209,296.13 × 209,296.13
  4. Step 4: Simplify right side
    95,474.81x = 43,804,867,940.02
  5. Step 5: Solve for x
    x = 43,804,867,940.02/95,474.81
  6. Step 6: Final answer
    x = 458,810.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.