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Finding the Third Proportional to 216,968.63 and 470,022.75

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Solution

The third proportional to 216,968.63 and 470,022.75 is: 1,018,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,968.63 : 470,022.75 = 470,022.75 : x
  2. Step 2: Convert to fraction form
    216,968.63/470,022.75 = 470,022.75/x
  3. Step 3: Cross multiply
    216,968.63x = 470,022.75 × 470,022.75
  4. Step 4: Simplify right side
    216,968.63x = 220,921,385,517.56
  5. Step 5: Solve for x
    x = 220,921,385,517.56/216,968.63
  6. Step 6: Final answer
    x = 1,018,218.12

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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.