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Finding the Third Proportional to 43,931 and 95,813

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Solution

The third proportional to 43,931 and 95,813 is: 208,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,931 : 95,813 = 95,813 : x
  2. Step 2: Convert to fraction form
    43,931/95,813 = 95,813/x
  3. Step 3: Cross multiply
    43,931x = 95,813 × 95,813
  4. Step 4: Simplify right side
    43,931x = 9,180,130,969
  5. Step 5: Solve for x
    x = 9,180,130,969/43,931
  6. Step 6: Final answer
    x = 208,967.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.