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Finding the Third Proportional to 45,168 and 99,088

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Solution

The third proportional to 45,168 and 99,088 is: 217,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,168 : 99,088 = 99,088 : x
  2. Step 2: Convert to fraction form
    45,168/99,088 = 99,088/x
  3. Step 3: Cross multiply
    45,168x = 99,088 × 99,088
  4. Step 4: Simplify right side
    45,168x = 9,818,431,744
  5. Step 5: Solve for x
    x = 9,818,431,744/45,168
  6. Step 6: Final answer
    x = 217,375.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.