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Finding the Third Proportional to 101,226.38 and 214,909.88

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Solution

The third proportional to 101,226.38 and 214,909.88 is: 456,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,226.38 : 214,909.88 = 214,909.88 : x
  2. Step 2: Convert to fraction form
    101,226.38/214,909.88 = 214,909.88/x
  3. Step 3: Cross multiply
    101,226.38x = 214,909.88 × 214,909.88
  4. Step 4: Simplify right side
    101,226.38x = 46,186,254,372.52
  5. Step 5: Solve for x
    x = 46,186,254,372.52/101,226.38
  6. Step 6: Final answer
    x = 456,267.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.