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Finding the Third Proportional to 100,853.50 and 214,955

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Solution

The third proportional to 100,853.50 and 214,955 is: 458,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,853.50 : 214,955 = 214,955 : x
  2. Step 2: Convert to fraction form
    100,853.50/214,955 = 214,955/x
  3. Step 3: Cross multiply
    100,853.50x = 214,955 × 214,955
  4. Step 4: Simplify right side
    100,853.50x = 46,205,652,025
  5. Step 5: Solve for x
    x = 46,205,652,025/100,853.50
  6. Step 6: Final answer
    x = 458,146.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.