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Finding the Third Proportional to 95,694.75 and 209,709

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Solution

The third proportional to 95,694.75 and 209,709 is: 459,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,694.75 : 209,709 = 209,709 : x
  2. Step 2: Convert to fraction form
    95,694.75/209,709 = 209,709/x
  3. Step 3: Cross multiply
    95,694.75x = 209,709 × 209,709
  4. Step 4: Simplify right side
    95,694.75x = 43,977,864,681
  5. Step 5: Solve for x
    x = 43,977,864,681/95,694.75
  6. Step 6: Final answer
    x = 459,564.03

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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.