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Finding the Third Proportional to 101,984 and 219,700

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Solution

The third proportional to 101,984 and 219,700 is: 473,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,984 : 219,700 = 219,700 : x
  2. Step 2: Convert to fraction form
    101,984/219,700 = 219,700/x
  3. Step 3: Cross multiply
    101,984x = 219,700 × 219,700
  4. Step 4: Simplify right side
    101,984x = 48,268,090,000
  5. Step 5: Solve for x
    x = 48,268,090,000/101,984
  6. Step 6: Final answer
    x = 473,290.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.