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Finding the Third Proportional to 95,830 and 201,584

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Solution

The third proportional to 95,830 and 201,584 is: 424,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,830 : 201,584 = 201,584 : x
  2. Step 2: Convert to fraction form
    95,830/201,584 = 201,584/x
  3. Step 3: Cross multiply
    95,830x = 201,584 × 201,584
  4. Step 4: Simplify right side
    95,830x = 40,636,109,056
  5. Step 5: Solve for x
    x = 40,636,109,056/95,830
  6. Step 6: Final answer
    x = 424,043.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.