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Finding the Third Proportional to 216,020.36 and 470,119.57

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Solution

The third proportional to 216,020.36 and 470,119.57 is: 1,023,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,020.36 : 470,119.57 = 470,119.57 : x
  2. Step 2: Convert to fraction form
    216,020.36/470,119.57 = 470,119.57/x
  3. Step 3: Cross multiply
    216,020.36x = 470,119.57 × 470,119.57
  4. Step 4: Simplify right side
    216,020.36x = 221,012,410,390.81
  5. Step 5: Solve for x
    x = 221,012,410,390.81/216,020.36
  6. Step 6: Final answer
    x = 1,023,109.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.