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Finding the Third Proportional to 92,854 and 200,486

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Solution

The third proportional to 92,854 and 200,486 is: 432,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,854 : 200,486 = 200,486 : x
  2. Step 2: Convert to fraction form
    92,854/200,486 = 200,486/x
  3. Step 3: Cross multiply
    92,854x = 200,486 × 200,486
  4. Step 4: Simplify right side
    92,854x = 40,194,636,196
  5. Step 5: Solve for x
    x = 40,194,636,196/92,854
  6. Step 6: Final answer
    x = 432,879.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.