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Finding the Third Proportional to 46,106 and 93,906

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Solution

The third proportional to 46,106 and 93,906 is: 191,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,106 : 93,906 = 93,906 : x
  2. Step 2: Convert to fraction form
    46,106/93,906 = 93,906/x
  3. Step 3: Cross multiply
    46,106x = 93,906 × 93,906
  4. Step 4: Simplify right side
    46,106x = 8,818,336,836
  5. Step 5: Solve for x
    x = 8,818,336,836/46,106
  6. Step 6: Final answer
    x = 191,262.24

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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.