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Finding the Third Proportional to 46,676 and 97,906

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Solution

The third proportional to 46,676 and 97,906 is: 205,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676 : 97,906 = 97,906 : x
  2. Step 2: Convert to fraction form
    46,676/97,906 = 97,906/x
  3. Step 3: Cross multiply
    46,676x = 97,906 × 97,906
  4. Step 4: Simplify right side
    46,676x = 9,585,584,836
  5. Step 5: Solve for x
    x = 9,585,584,836/46,676
  6. Step 6: Final answer
    x = 205,364.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.