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Finding the Third Proportional to 216,897.75 and 467,101.69

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Solution

The third proportional to 216,897.75 and 467,101.69 is: 1,005,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,897.75 : 467,101.69 = 467,101.69 : x
  2. Step 2: Convert to fraction form
    216,897.75/467,101.69 = 467,101.69/x
  3. Step 3: Cross multiply
    216,897.75x = 467,101.69 × 467,101.69
  4. Step 4: Simplify right side
    216,897.75x = 218,183,986,465.35
  5. Step 5: Solve for x
    x = 218,183,986,465.35/216,897.75
  6. Step 6: Final answer
    x = 1,005,930.15

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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.