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Finding the Third Proportional to 46,100 and 93,892

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Solution

The third proportional to 46,100 and 93,892 is: 191,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,100 : 93,892 = 93,892 : x
  2. Step 2: Convert to fraction form
    46,100/93,892 = 93,892/x
  3. Step 3: Cross multiply
    46,100x = 93,892 × 93,892
  4. Step 4: Simplify right side
    46,100x = 8,815,707,664
  5. Step 5: Solve for x
    x = 8,815,707,664/46,100
  6. Step 6: Final answer
    x = 191,230.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.