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Finding the Third Proportional to 101,835 and 219,354

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Solution

The third proportional to 101,835 and 219,354 is: 472,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,835 : 219,354 = 219,354 : x
  2. Step 2: Convert to fraction form
    101,835/219,354 = 219,354/x
  3. Step 3: Cross multiply
    101,835x = 219,354 × 219,354
  4. Step 4: Simplify right side
    101,835x = 48,116,177,316
  5. Step 5: Solve for x
    x = 48,116,177,316/101,835
  6. Step 6: Final answer
    x = 472,491.55

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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.