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Finding the Third Proportional to 46,412 and 95,283

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Solution

The third proportional to 46,412 and 95,283 is: 195,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,412 : 95,283 = 95,283 : x
  2. Step 2: Convert to fraction form
    46,412/95,283 = 95,283/x
  3. Step 3: Cross multiply
    46,412x = 95,283 × 95,283
  4. Step 4: Simplify right side
    46,412x = 9,078,850,089
  5. Step 5: Solve for x
    x = 9,078,850,089/46,412
  6. Step 6: Final answer
    x = 195,614.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.