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Finding the Third Proportional to 44,416 and 91,964

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Solution

The third proportional to 44,416 and 91,964 is: 190,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,416 : 91,964 = 91,964 : x
  2. Step 2: Convert to fraction form
    44,416/91,964 = 91,964/x
  3. Step 3: Cross multiply
    44,416x = 91,964 × 91,964
  4. Step 4: Simplify right side
    44,416x = 8,457,377,296
  5. Step 5: Solve for x
    x = 8,457,377,296/44,416
  6. Step 6: Final answer
    x = 190,412.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.