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Finding the Third Proportional to 46,110 and 93,914

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Solution

The third proportional to 46,110 and 93,914 is: 191,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,110 : 93,914 = 93,914 : x
  2. Step 2: Convert to fraction form
    46,110/93,914 = 93,914/x
  3. Step 3: Cross multiply
    46,110x = 93,914 × 93,914
  4. Step 4: Simplify right side
    46,110x = 8,819,839,396
  5. Step 5: Solve for x
    x = 8,819,839,396/46,110
  6. Step 6: Final answer
    x = 191,278.23

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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.