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Finding the Third Proportional to 95,685 and 209,508

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Solution

The third proportional to 95,685 and 209,508 is: 458,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,685 : 209,508 = 209,508 : x
  2. Step 2: Convert to fraction form
    95,685/209,508 = 209,508/x
  3. Step 3: Cross multiply
    95,685x = 209,508 × 209,508
  4. Step 4: Simplify right side
    95,685x = 43,893,602,064
  5. Step 5: Solve for x
    x = 43,893,602,064/95,685
  6. Step 6: Final answer
    x = 458,730.23

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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.