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Finding the Third Proportional to 100,933 and 219,037.50

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Solution

The third proportional to 100,933 and 219,037.50 is: 475,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,933 : 219,037.50 = 219,037.50 : x
  2. Step 2: Convert to fraction form
    100,933/219,037.50 = 219,037.50/x
  3. Step 3: Cross multiply
    100,933x = 219,037.50 × 219,037.50
  4. Step 4: Simplify right side
    100,933x = 47,977,426,406.25
  5. Step 5: Solve for x
    x = 47,977,426,406.25/100,933
  6. Step 6: Final answer
    x = 475,339.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.