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Finding the Third Proportional to 46,911 and 95,733

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Solution

The third proportional to 46,911 and 95,733 is: 195,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,911 : 95,733 = 95,733 : x
  2. Step 2: Convert to fraction form
    46,911/95,733 = 95,733/x
  3. Step 3: Cross multiply
    46,911x = 95,733 × 95,733
  4. Step 4: Simplify right side
    46,911x = 9,164,807,289
  5. Step 5: Solve for x
    x = 9,164,807,289/46,911
  6. Step 6: Final answer
    x = 195,365.85

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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.