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Finding the Third Proportional to 45,988 and 100,808

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Solution

The third proportional to 45,988 and 100,808 is: 220,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,988 : 100,808 = 100,808 : x
  2. Step 2: Convert to fraction form
    45,988/100,808 = 100,808/x
  3. Step 3: Cross multiply
    45,988x = 100,808 × 100,808
  4. Step 4: Simplify right side
    45,988x = 10,162,252,864
  5. Step 5: Solve for x
    x = 10,162,252,864/45,988
  6. Step 6: Final answer
    x = 220,976.19

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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.