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Finding the Third Proportional to 101,234 and 214,925.50

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Solution

The third proportional to 101,234 and 214,925.50 is: 456,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,234 : 214,925.50 = 214,925.50 : x
  2. Step 2: Convert to fraction form
    101,234/214,925.50 = 214,925.50/x
  3. Step 3: Cross multiply
    101,234x = 214,925.50 × 214,925.50
  4. Step 4: Simplify right side
    101,234x = 46,192,970,550.25
  5. Step 5: Solve for x
    x = 46,192,970,550.25/101,234
  6. Step 6: Final answer
    x = 456,298.98

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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.