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Finding the Third Proportional to 101,598 and 219,900

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Solution

The third proportional to 101,598 and 219,900 is: 475,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,598 : 219,900 = 219,900 : x
  2. Step 2: Convert to fraction form
    101,598/219,900 = 219,900/x
  3. Step 3: Cross multiply
    101,598x = 219,900 × 219,900
  4. Step 4: Simplify right side
    101,598x = 48,356,010,000
  5. Step 5: Solve for x
    x = 48,356,010,000/101,598
  6. Step 6: Final answer
    x = 475,954.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.