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Finding the Third Proportional to 100,052 and 211,360

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Solution

The third proportional to 100,052 and 211,360 is: 446,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,052 : 211,360 = 211,360 : x
  2. Step 2: Convert to fraction form
    100,052/211,360 = 211,360/x
  3. Step 3: Cross multiply
    100,052x = 211,360 × 211,360
  4. Step 4: Simplify right side
    100,052x = 44,673,049,600
  5. Step 5: Solve for x
    x = 44,673,049,600/100,052
  6. Step 6: Final answer
    x = 446,498.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.